Pith Number

pith:6UC4ZMWM

pith:2016:6UC4ZMWMTEXLXW4DJP4TLAPKBK

not attested not anchored not stored refs pending

The "Parity" Anomaly On An Unorientable Manifold

Edward Witten

arxiv:1605.02391 v3 · 2016-05-08 · hep-th · cond-mat.str-el

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UC4ZMWMTEXLXW4DJP4TLAPKBK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

4 papers in Pith

Morse-Bott inequalities, Topology Change and Cobordisms to Nothing

Extraordinary Surface Criticalities for Interacting Fermions

Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions

Extraordinary Surface Criticalities for Interacting Fermions

Receipt and verification

First computed	2026-05-18T00:55:46.493485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f505ccb2cc992ebbdb834bf93581ea0a91c069014483baf4309087572cda33c6

Aliases

arxiv: 1605.02391 · arxiv_version: 1605.02391v3 · doi: 10.48550/arxiv.1605.02391 · pith_short_12: 6UC4ZMWMTEXL · pith_short_16: 6UC4ZMWMTEXLXW4D · pith_short_8: 6UC4ZMWM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6UC4ZMWMTEXLXW4DJP4TLAPKBK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f505ccb2cc992ebbdb834bf93581ea0a91c069014483baf4309087572cda33c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea474489e72a9aadf308b3a36caabef9d6822f8f9f4fc03497a0d0df561ccf7",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-05-08T23:45:46Z",
    "title_canon_sha256": "4af9a93ea808b3b429f8167a8f1440d8345b84ffd31246c8e8c94d297223e068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02391",
    "kind": "arxiv",
    "version": 3
  }
}