Pith Number

pith:GR5IIY3R

pith:1997:GR5IIY3RSFIZZQH4ZRDFXKATYF

not attested not anchored not stored refs pending

Toroidal and annular Dehn fillings

Cameron McA. Gordon, Ying-Qing Wu

arxiv:math/9705221 v1 · 1997-05-16 · 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{GR5IIY3RSFIZZQH4ZRDFXKATYF}

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	2026-07-04T15:09:00.289816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

347a84637191519cc0fccc465ba813c16f52671da1a4d0682b65068a7907c7b4

Aliases

arxiv: math/9705221 · arxiv_version: math/9705221v1 · doi: 10.48550/arxiv.math/9705221 · pith_short_12: GR5IIY3RSFIZ · pith_short_16: GR5IIY3RSFIZZQH4 · pith_short_8: GR5IIY3R

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/GR5IIY3RSFIZZQH4ZRDFXKATYF \
  | 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: 347a84637191519cc0fccc465ba813c16f52671da1a4d0682b65068a7907c7b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c241bf2294a528b8277178e6fac3500875c2afe3a94d84adb4dfb73dd95415",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1997-05-16T00:00:00Z",
    "title_canon_sha256": "63e982e4a9474f33f4a1ca72706933b7cced3433e32ca1d6a5ae0ed2a7b78b60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9705221",
    "kind": "arxiv",
    "version": 1
  }
}