Pith Number

pith:O7C4JFJ2

pith:2013:O7C4JFJ2MUUQOCVGAMMLIWK47K

not attested not anchored not stored refs pending

Spin structures on almost-flat manifolds

Andrzej Szczepa\'nski, Anna G\k{a}sior, Nansen Petrosyan

arxiv:1312.1808 v3 · 2013-12-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7C4JFJ2MUUQOCVGAMMLIWK47K}

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	2026-05-18T01:15:47.302421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c5c4953a6529070aa60318b4595cfa9c12ee93b84f9a2baef84a86056b1869

Aliases

arxiv: 1312.1808 · arxiv_version: 1312.1808v3 · doi: 10.48550/arxiv.1312.1808 · pith_short_12: O7C4JFJ2MUUQ · pith_short_16: O7C4JFJ2MUUQOCVG · pith_short_8: O7C4JFJ2

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/O7C4JFJ2MUUQOCVGAMMLIWK47K \
  | 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: 77c5c4953a6529070aa60318b4595cfa9c12ee93b84f9a2baef84a86056b1869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0755a467b4dc1de7da47738359419dacb69f305b911fba1bd1588c50156902f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-06T09:12:59Z",
    "title_canon_sha256": "257751d262462890d47219ae586182a221588b4df3bb9eb592ff906bb85135c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1808",
    "kind": "arxiv",
    "version": 3
  }
}