Pith Number

pith:3CNYVARJ

pith:2011:3CNYVARJKAOA4DKPVL43OALJLW

not attested not anchored not stored refs pending

An Algorithm for Detecting Intrinsically Knotted Graphs

Jonathan Miller, Ramin Naimi

arxiv:1109.1030 v2 · 2011-09-05 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CNYVARJKAOA4DKPVL43OALJLW}

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	2026-05-18T03:10:58.589293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d89b8a8229501c0e0d4faaf9b701695d975e7c616b66007df5e0fd1a83051a75

Aliases

arxiv: 1109.1030 · arxiv_version: 1109.1030v2 · doi: 10.48550/arxiv.1109.1030 · pith_short_12: 3CNYVARJKAOA · pith_short_16: 3CNYVARJKAOA4DKP · pith_short_8: 3CNYVARJ

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/3CNYVARJKAOA4DKPVL43OALJLW \
  | 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: d89b8a8229501c0e0d4faaf9b701695d975e7c616b66007df5e0fd1a83051a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab685634d128fb727ea9d4c52b1a8a7bfdc6df9d49f1735161486fd3eda23419",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-09-05T23:25:22Z",
    "title_canon_sha256": "82a7da4fd11dcb231192153021e2c9cffb15b68cc0fae3fc9fc96b5870f3a813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1030",
    "kind": "arxiv",
    "version": 2
  }
}