Pith Number

pith:U5NZZPPM

pith:2013:U5NZZPPMO7B466QIMCDAEK4T3N

not attested not anchored not stored refs pending

Noncommutative Geometry and Conformal Geometry. III. Vafa-Witten Inequality and Poincar\'e Duality

Hang Wang, Rapha\"el Ponge

arxiv:1310.6138 v2 · 2013-10-23 · math.DG · 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{U5NZZPPMO7B466QIMCDAEK4T3N}

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	2026-05-18T02:29:39.215741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a75b9cbdec77c3cf7a086086022b93db464daf43e393fb09da4ac13c2ded879c

Aliases

arxiv: 1310.6138 · arxiv_version: 1310.6138v2 · doi: 10.48550/arxiv.1310.6138 · pith_short_12: U5NZZPPMO7B4 · pith_short_16: U5NZZPPMO7B466QI · pith_short_8: U5NZZPPM

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/U5NZZPPMO7B466QIMCDAEK4T3N \
  | 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: a75b9cbdec77c3cf7a086086022b93db464daf43e393fb09da4ac13c2ded879c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "704d0737915a9002aefcb9656211e1c6a81dc52b277c3e1f67cbafd51e918473",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-23T07:42:42Z",
    "title_canon_sha256": "b706f01ccdb27f675b7f80b2e0ec928685398ecc323b944f3d43caf0b32e8700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6138",
    "kind": "arxiv",
    "version": 2
  }
}