Pith Number

pith:TNEWKGAM

pith:2001:TNEWKGAMF27WSXCQPZS3PSMH7S

not attested not anchored not stored refs pending

Poincare Duality and Spin^c Structures for Noncommutative Manifolds

Adam Rennie

arxiv:math-ph/0107013 v1 · 2001-07-13 · math-ph · math.KT · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNEWKGAMF27WSXCQPZS3PSMH7S}

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

Free phases of Majorana fermions: Tenfold ways compared

Receipt and verification

First computed	2026-07-04T14:33:39.653468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4965180c2ebf695c507e65b7c987fc8b72c75fea51106c6f46215d3b98d5dd

Aliases

arxiv: math-ph/0107013 · arxiv_version: math-ph/0107013v1 · doi: 10.48550/arxiv.math-ph/0107013 · pith_short_12: TNEWKGAMF27W · pith_short_16: TNEWKGAMF27WSXCQ · pith_short_8: TNEWKGAM

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/TNEWKGAMF27WSXCQPZS3PSMH7S \
  | 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: 9b4965180c2ebf695c507e65b7c987fc8b72c75fea51106c6f46215d3b98d5dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7260a623bcecf600f458a2440a642eec9ed59ffc7b7776d9ed00f0d78b6b7e7",
    "cross_cats_sorted": [
      "math.KT",
      "math.MP",
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-07-13T05:37:23Z",
    "title_canon_sha256": "e10116e74df18a0b6b867e0fb877622a0bead89f8e9f955355e921b6f29de4ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0107013",
    "kind": "arxiv",
    "version": 1
  }
}