Pith Number

pith:T66IX2WF

pith:2012:T66IX2WFTB22CEMUDRCCPFMGB3

not attested not anchored not stored refs pending

Canonical quadratic refinements of cohomological pairings from functorial lifts of the Wu class

Samuel Monnier

arxiv:1208.1540 v2 · 2012-08-07 · math.AT · hep-th · math-ph · 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{T66IX2WFTB22CEMUDRCCPFMGB3}

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

1 paper in Pith

From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs

Receipt and verification

First computed	2026-05-18T02:58:46.600828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fbc8beac59875a111941c442795860ec3e9b4d1c0495d16bcbdc9ac06843456

Aliases

arxiv: 1208.1540 · arxiv_version: 1208.1540v2 · doi: 10.48550/arxiv.1208.1540 · pith_short_12: T66IX2WFTB22 · pith_short_16: T66IX2WFTB22CEMU · pith_short_8: T66IX2WF

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/T66IX2WFTB22CEMUDRCCPFMGB3 \
  | 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: 9fbc8beac59875a111941c442795860ec3e9b4d1c0495d16bcbdc9ac06843456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52869094c78ab7186e87be8c7077a2ebcffb94d3493f284cd04a93a80432a45c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-08-07T22:44:12Z",
    "title_canon_sha256": "ee8b938b0e76ba95f813cb1883d14ad9327e7b4afa495493304b525f497fca80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1540",
    "kind": "arxiv",
    "version": 2
  }
}