Pith Number

pith:B3KPYEQ7

pith:2011:B3KPYEQ76P6SVUBDIICLGMP5I6

not attested not anchored not stored refs pending

Rigidity of Fibering

Igor Rivin

arxiv:1106.4595 v2 · 2011-06-22 · math.GT · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3KPYEQ76P6SVUBDIICLGMP5I6}

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	2026-05-18T04:18:54.214997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed4fc121ff3fd2ad0234204b331fd47bd01d806407a8b0495171cb5888b6df8

Aliases

arxiv: 1106.4595 · arxiv_version: 1106.4595v2 · doi: 10.48550/arxiv.1106.4595 · pith_short_12: B3KPYEQ76P6S · pith_short_16: B3KPYEQ76P6SVUBD · pith_short_8: B3KPYEQ7

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/B3KPYEQ76P6SVUBDIICLGMP5I6 \
  | 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: 0ed4fc121ff3fd2ad0234204b331fd47bd01d806407a8b0495171cb5888b6df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "025024508cd5f2839d98b6a85d079f5870f177f853d7e75698de66ebaa1004ab",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-22T23:24:46Z",
    "title_canon_sha256": "e19fe67e673bf0583e947d85db9f0998fa84dbdcf2acb1151a16adb429bf8094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4595",
    "kind": "arxiv",
    "version": 2
  }
}