Pith Number

pith:572QSDJF

pith:1997:572QSDJFMRGQWV3HVJFLRURUR5

not attested not anchored not stored refs pending

Canonical decompositions of 3-manifolds

Gadde A. Swarup, Walter D. Neumann

arxiv:math/9712227 v2 · 1997-12-04 · 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{572QSDJFMRGQWV3HVJFLRURUR5}

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	2026-05-18T02:37:59.349626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff5090d25644d0b5767aa4ab8d2348f7e95a2451f124c40e42b4294192d5dc0

Aliases

arxiv: math/9712227 · arxiv_version: math/9712227v2 · doi: 10.48550/arxiv.math/9712227 · pith_short_12: 572QSDJFMRGQ · pith_short_16: 572QSDJFMRGQWV3H · pith_short_8: 572QSDJF

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/572QSDJFMRGQWV3HVJFLRURUR5 \
  | 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: eff5090d25644d0b5767aa4ab8d2348f7e95a2451f124c40e42b4294192d5dc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "228e0ab3a7a9b05684f1643db4310a5f0138e8b82e722870bd8ec134185edb73",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1997-12-04T07:00:23Z",
    "title_canon_sha256": "57ed9acf32857952e43d380d08e6b96b8e1dea7594af86a496b082b10da78eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9712227",
    "kind": "arxiv",
    "version": 2
  }
}