Pith Number

pith:77XYYERJ

pith:2015:77XYYERJRJS4XILDNEPPZV2DGO

not attested not anchored not stored refs pending

Linking number and writhe in random linear embeddings of graphs

Erica Flapan, Kenji Kozai

arxiv:1508.01183 v2 · 2015-08-05 · 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{77XYYERJRJS4XILDNEPPZV2DGO}

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	2026-05-18T01:21:37.195064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffef8c12298a65cba163691efcd7433392d3ffe422230b21c244a1d25d81cfda

Aliases

arxiv: 1508.01183 · arxiv_version: 1508.01183v2 · doi: 10.48550/arxiv.1508.01183 · pith_short_12: 77XYYERJRJS4 · pith_short_16: 77XYYERJRJS4XILD · pith_short_8: 77XYYERJ

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/77XYYERJRJS4XILDNEPPZV2DGO \
  | 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: ffef8c12298a65cba163691efcd7433392d3ffe422230b21c244a1d25d81cfda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c2dd6a313805407f3d20b84920fa68be93bfadff9703e787f2455cd3d071f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-05T19:15:40Z",
    "title_canon_sha256": "0467e89cf652b9f5dca7dfc9707729d1d0babb4f74d31f326f7ea106b74706ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01183",
    "kind": "arxiv",
    "version": 2
  }
}