Pith Number

pith:CP2UCUMA

pith:2018:CP2UCUMAK3MBIQFV75IUMMGBLU

not attested not anchored not stored refs pending

A topological characterization of Gauss codes

Lluis Vena

arxiv:1808.04630 v1 · 2018-08-14 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CP2UCUMAK3MBIQFV75IUMMGBLU}

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	2026-05-18T00:08:12.013174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f541518056d81440b5ff514630c15d2aa43be493a29c0cd472feb1f4b77fa5

Aliases

arxiv: 1808.04630 · arxiv_version: 1808.04630v1 · doi: 10.48550/arxiv.1808.04630 · pith_short_12: CP2UCUMAK3MB · pith_short_16: CP2UCUMAK3MBIQFV · pith_short_8: CP2UCUMA

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/CP2UCUMAK3MBIQFV75IUMMGBLU \
  | 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: 13f541518056d81440b5ff514630c15d2aa43be493a29c0cd472feb1f4b77fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b835fba2e844e75a946fb0d4022e5dc92061c68557e5f774408a2cca78774ea3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-14T11:16:15Z",
    "title_canon_sha256": "fe99569a93b5592611170bff43efce5f3125fe5c93d93a0eae241ba18b227626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04630",
    "kind": "arxiv",
    "version": 1
  }
}