Pith Number

pith:TYNBVEEZ

pith:1998:TYNBVEEZMFXGDEEVIP6BAN2P5Z

not attested not anchored not stored refs pending

Annular and boundary reducing Dehn fillings

Cameron McA. Gordon, Ying-Qing Wu

arxiv:math/9810126 v1 · 1998-10-20 · 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{TYNBVEEZMFXGDEEVIP6BAN2P5Z}

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	2026-07-04T14:40:50.340701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1a1a9099616e61909543fc10374fee73d02b7564937d0553a762e4a5d6c50f

Aliases

arxiv: math/9810126 · arxiv_version: math/9810126v1 · doi: 10.48550/arxiv.math/9810126 · pith_short_12: TYNBVEEZMFXG · pith_short_16: TYNBVEEZMFXGDEEV · pith_short_8: TYNBVEEZ

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/TYNBVEEZMFXGDEEVIP6BAN2P5Z \
  | 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: 9e1a1a9099616e61909543fc10374fee73d02b7564937d0553a762e4a5d6c50f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd6ca3e7c8254d394c19b2ff8ec05d7e3f8554fa02a85a5254ce5638a2ec7013",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-10-20T14:22:28Z",
    "title_canon_sha256": "5b8f5ce3966973dc119919cf9aa57705d8db5e16c8d0eb283292744a0224d758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9810126",
    "kind": "arxiv",
    "version": 1
  }
}