Pith Number

pith:DOOAN4JN

pith:2018:DOOAN4JN6NGMMPF4E47VWUEFQZ

not attested not anchored not stored refs pending

Topological surgery in the small and in the large

Louis H. Kauffman, Sofia Lambropoulou, Stathis Antoniou

arxiv:1812.07975 v1 · 2018-12-11 · math.GT · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOOAN4JN6NGMMPF4E47VWUEFQZ}

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	2026-05-17T23:57:55.334295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b9c06f12df34cc63cbc273f5b508586799211e9ef0f8d695d869d90fd64fc1c

Aliases

arxiv: 1812.07975 · arxiv_version: 1812.07975v1 · doi: 10.48550/arxiv.1812.07975 · pith_short_12: DOOAN4JN6NGM · pith_short_16: DOOAN4JN6NGMMPF4 · pith_short_8: DOOAN4JN

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/DOOAN4JN6NGMMPF4E47VWUEFQZ \
  | 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: 1b9c06f12df34cc63cbc273f5b508586799211e9ef0f8d695d869d90fd64fc1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df0f31042a3f83f4a963c2ed5cbf755fef32953ead5cf538b9d3d9bae759ca9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-12-11T10:55:51Z",
    "title_canon_sha256": "e255df68bd51fb3a15dd3250c902b395a65970000c65a1ad5dd50f9b9650a72c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07975",
    "kind": "arxiv",
    "version": 1
  }
}