Pith Number

pith:L5KJYK3J

pith:2010:L5KJYK3JUQLDSOMIPW575Z45HQ

not attested not anchored not stored refs pending

Knotting and linking in the Petersen family

Danielle O'Donnol

arxiv:1008.0377 v1 · 2010-08-02 · 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{L5KJYK3JUQLDSOMIPW575Z45HQ}

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	2026-05-18T04:42:43.476043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f549c2b69a4163939887dbbfee79d3c2e0fbe394d12e05eb8aec49f327b238e

Aliases

arxiv: 1008.0377 · arxiv_version: 1008.0377v1 · doi: 10.48550/arxiv.1008.0377 · pith_short_12: L5KJYK3JUQLD · pith_short_16: L5KJYK3JUQLDSOMI · pith_short_8: L5KJYK3J

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/L5KJYK3JUQLDSOMIPW575Z45HQ \
  | 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: 5f549c2b69a4163939887dbbfee79d3c2e0fbe394d12e05eb8aec49f327b238e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1180bd5600e15d30c3857cb5fac2c247d7e3321c12b1c3e7cddc4341002ba716",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-08-02T19:00:14Z",
    "title_canon_sha256": "081cbe9d3f1eb4ed5fa50b4b23910116f79effb139cd89bab51fd5007665eeb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0377",
    "kind": "arxiv",
    "version": 1
  }
}