Pith Number

pith:C4FFMUCL

pith:2007:C4FFMUCLNWENVXSNKH26R2LXSC

not attested not anchored not stored refs pending

Reducible And Finite Dehn Fillings

Cameron McA. Gordon, Steven Boyer, Xingru Zhang

arxiv:0710.3786 v1 · 2007-10-19 · 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{C4FFMUCLNWENVXSNKH26R2LXSC}

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	2026-05-18T02:58:12.159741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170a56504b6d88dade4d51f5e8e9779098769651d4a060a92092042dd89174e9

Aliases

arxiv: 0710.3786 · arxiv_version: 0710.3786v1 · doi: 10.48550/arxiv.0710.3786 · pith_short_12: C4FFMUCLNWEN · pith_short_16: C4FFMUCLNWENVXSN · pith_short_8: C4FFMUCL

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/C4FFMUCLNWENVXSNKH26R2LXSC \
  | 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: 170a56504b6d88dade4d51f5e8e9779098769651d4a060a92092042dd89174e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "673effcd76c48702f71bf4f3ddd9ec0e681a8c10897c3a1412a632e6cab83434",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-10-19T20:50:39Z",
    "title_canon_sha256": "20167f82919c83c7d0c457dc792b49dc530d4ea841759c36c6e3ae0f9b1cef3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3786",
    "kind": "arxiv",
    "version": 1
  }
}