Pith Number

pith:GFJ2XWIY

pith:2015:GFJ2XWIYTQ7MF7MOXLTOADUQHD

not attested not anchored not stored refs pending

Noncompact manifolds that are inward tame

Craig R. Guilbault, Frederick C. Tinsley

arxiv:1509.00918 v1 · 2015-09-03 · 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{GFJ2XWIYTQ7MF7MOXLTOADUQHD}

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	2026-05-18T00:46:09.176728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3153abd9189c3ec2fd8ebae6e00e9038c205f12caf955d98e40faff6aafb047b

Aliases

arxiv: 1509.00918 · arxiv_version: 1509.00918v1 · doi: 10.48550/arxiv.1509.00918 · pith_short_12: GFJ2XWIYTQ7M · pith_short_16: GFJ2XWIYTQ7MF7MO · pith_short_8: GFJ2XWIY

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/GFJ2XWIYTQ7MF7MOXLTOADUQHD \
  | 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: 3153abd9189c3ec2fd8ebae6e00e9038c205f12caf955d98e40faff6aafb047b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ec2ba64f5702a0920b823ab8be3697b656e3fca811f222a140d3eb7c0d67f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-03T02:08:10Z",
    "title_canon_sha256": "58fef0a0c3b21cf9d486b66b86cce8ff0c77ed453a4fb3dbdeddecd0266378fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00918",
    "kind": "arxiv",
    "version": 1
  }
}