Pith Number

pith:NRRN62RD

pith:2010:NRRN62RDTAQ3NMYOOKE2OSX2L7

not attested not anchored not stored refs pending

Twisted acyclicity of a circle and link signatures

Oleg Viro

arxiv:1009.1187 v1 · 2010-09-07 · math.GT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRRN62RDTAQ3NMYOOKE2OSX2L7}

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	2026-05-18T04:41:15.975473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c62df6a239821b6b30e7289a74afa5fc7555bacff3291475111b451b199a3b0

Aliases

arxiv: 1009.1187 · arxiv_version: 1009.1187v1 · doi: 10.48550/arxiv.1009.1187 · pith_short_12: NRRN62RDTAQ3 · pith_short_16: NRRN62RDTAQ3NMYO · pith_short_8: NRRN62RD

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/NRRN62RDTAQ3NMYOOKE2OSX2L7 \
  | 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: 6c62df6a239821b6b30e7289a74afa5fc7555bacff3291475111b451b199a3b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d886a4cb6effa482ea2d878f6a606d965c72f7c42a6b379f9c4f78b8fd304795",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-07T02:56:34Z",
    "title_canon_sha256": "58759dbd251d2d47f099c55c77bd8983418f4851eb37e2ace42dabea484fe5f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1187",
    "kind": "arxiv",
    "version": 1
  }
}