Pith Number

pith:5ZGE5W7I

pith:2015:5ZGE5W7ISWESZDSV276543SOD4

not attested not anchored not stored refs pending

Knot Probabilities in Random Diagrams

Harrison Chapman, Jason Cantarella, Matt Mastin

arxiv:1512.05749 v1 · 2015-12-17 · 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{5ZGE5W7ISWESZDSV276543SOD4}

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	2026-05-18T01:02:45.295367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4c4edbe895892c8e55d7fdde6e4e1f10a836a6a7f96449599c78db57658fe1

Aliases

arxiv: 1512.05749 · arxiv_version: 1512.05749v1 · doi: 10.48550/arxiv.1512.05749 · pith_short_12: 5ZGE5W7ISWES · pith_short_16: 5ZGE5W7ISWESZDSV · pith_short_8: 5ZGE5W7I

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/5ZGE5W7ISWESZDSV276543SOD4 \
  | 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: ee4c4edbe895892c8e55d7fdde6e4e1f10a836a6a7f96449599c78db57658fe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4acaeeef7b6af5dbc185081e3dfe81063cf8513e8a4b9ca0fcf7aebc7101ae3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-17T20:18:21Z",
    "title_canon_sha256": "2e2475074525ca098a22bb62690f2846fd959b30a71685441210926c52673894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05749",
    "kind": "arxiv",
    "version": 1
  }
}