Pith Number

pith:EN4V2WNJ

pith:2014:EN4V2WNJLJQ7Y4OV63PK2C25IM

not attested not anchored not stored refs pending

Bott periodicity for $Z_2$ symmetric ground states of gapped free-fermion systems

Martin R. Zirnbauer, Ricardo Kennedy

arxiv:1409.2537 v3 · 2014-09-08 · math-ph · cond-mat.other · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EN4V2WNJLJQ7Y4OV63PK2C25IM}

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.

Receipt and verification

First computed	2026-05-18T01:19:42.533756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23795d59a95a61fc71d5f6dead0b5d43110a864e5fcaf601343ed9922b854814

Aliases

arxiv: 1409.2537 · arxiv_version: 1409.2537v3 · doi: 10.48550/arxiv.1409.2537 · pith_short_12: EN4V2WNJLJQ7 · pith_short_16: EN4V2WNJLJQ7Y4OV · pith_short_8: EN4V2WNJ

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/EN4V2WNJLJQ7Y4OV63PK2C25IM \
  | 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: 23795d59a95a61fc71d5f6dead0b5d43110a864e5fcaf601343ed9922b854814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4205ec0d71814b53aa336859dde5ed56c1df2c259dc86f0ef9c138fce9ca2e3d",
    "cross_cats_sorted": [
      "cond-mat.other",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-09-08T21:51:06Z",
    "title_canon_sha256": "6bfe0e72cd5d6a3996a22b6304277ff3de4bd917854a99ac21fd9314894c3edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2537",
    "kind": "arxiv",
    "version": 3
  }
}