Pith Number

pith:7P2RRMKW

pith:2017:7P2RRMKWA7BCIWPRRV6AONNW5D

not attested not anchored not stored refs pending

Graphical virtual links and a polynomial of signed cyclic graphs

Louis H Kauffman, Qingying Deng, Xian'an Jin

arxiv:1712.06711 v3 · 2017-12-18 · 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{7P2RRMKWA7BCIWPRRV6AONNW5D}

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	2026-05-18T00:14:34.176250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbf518b15607c22459f18d7c0735b6e8c8cfb21b2a7e7199ebe43f849e022c2b

Aliases

arxiv: 1712.06711 · arxiv_version: 1712.06711v3 · doi: 10.48550/arxiv.1712.06711 · pith_short_12: 7P2RRMKWA7BC · pith_short_16: 7P2RRMKWA7BCIWPR · pith_short_8: 7P2RRMKW

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/7P2RRMKWA7BCIWPRRV6AONNW5D \
  | 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: fbf518b15607c22459f18d7c0735b6e8c8cfb21b2a7e7199ebe43f849e022c2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c205aed07a5cc55b3b001cd6a3b21d81814829034703da8609c504d8e159dd17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-18T22:59:41Z",
    "title_canon_sha256": "7ba38af347d96016c16668088b108f2249fc600e5201b8d320b7daa9dadd6c1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06711",
    "kind": "arxiv",
    "version": 3
  }
}