Pith Number

pith:SUOHVE5O

pith:2014:SUOHVE5OFHNMXCGGVNT2WMPUZX

not attested not anchored not stored refs pending

Invariants of Random Knots and Links

Chaim Even-Zohar, Joel Hass, Nati Linial, Tahl Nowik

arxiv:1411.3308 v3 · 2014-11-12 · math.GT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SUOHVE5OFHNMXCGGVNT2WMPUZX}

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	2026-05-18T00:41:58.660801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

951c7a93ae29dacb88c6ab67ab31f4cde9369055cb8e440520b5b149b7742980

Aliases

arxiv: 1411.3308 · arxiv_version: 1411.3308v3 · doi: 10.48550/arxiv.1411.3308 · pith_short_12: SUOHVE5OFHNM · pith_short_16: SUOHVE5OFHNMXCGG · pith_short_8: SUOHVE5O

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/SUOHVE5OFHNMXCGGVNT2WMPUZX \
  | 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: 951c7a93ae29dacb88c6ab67ab31f4cde9369055cb8e440520b5b149b7742980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9f0dda84520762560c54af12ee3923d93da5ba74cc08151f60b625df2d43c86",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-12T20:26:35Z",
    "title_canon_sha256": "19911c36f05d71bcf5b7f4bcfa7205e22b60e40f98268bdd485bb931d5c1ff3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3308",
    "kind": "arxiv",
    "version": 3
  }
}