Pith Number

pith:X7ZFPCVQ

pith:2011:X7ZFPCVQ62YSXCV7ZEEZT7MAOX

not attested not anchored not stored refs pending

Graph manifolds with boundary are virtually special

Daniel T. Wise, Piotr Przytycki

arxiv:1110.3513 v2 · 2011-10-16 · math.GT · 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{X7ZFPCVQ62YSXCV7ZEEZT7MAOX}

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	2026-05-18T03:02:05.905105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff2578ab0f6b12b8abfc90999fd8075e4d95b54a331074257c45748d84ed6c7

Aliases

arxiv: 1110.3513 · arxiv_version: 1110.3513v2 · doi: 10.48550/arxiv.1110.3513 · pith_short_12: X7ZFPCVQ62YS · pith_short_16: X7ZFPCVQ62YSXCV7 · pith_short_8: X7ZFPCVQ

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/X7ZFPCVQ62YSXCV7ZEEZT7MAOX \
  | 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: bff2578ab0f6b12b8abfc90999fd8075e4d95b54a331074257c45748d84ed6c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35d48c3a329544b0ea872b7f025320b1cc4a479d4af657c9b1fe283ce0339562",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-16T18:52:46Z",
    "title_canon_sha256": "9ba5cdab7c6e1815acc7525014d302bd3a79c6b0ce50f07da7d98d4be64422de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3513",
    "kind": "arxiv",
    "version": 2
  }
}