Pith Number

pith:WD5IE7JU

pith:2011:WD5IE7JUTDCFSF3LAXQ5NSP3ZE

not attested not anchored not stored refs pending

On the universality of knot probability ratios

A. Rechnitzer, E.J. Janse van Rensburg

arxiv:1101.4047 v3 · 2011-01-20 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WD5IE7JUTDCFSF3LAXQ5NSP3ZE}

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	2026-05-18T02:03:25.798305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0fa827d3498c459176b05e1d6c9fbc91d013ad67e96528c5f913f2e7c5fb55e

Aliases

arxiv: 1101.4047 · arxiv_version: 1101.4047v3 · doi: 10.48550/arxiv.1101.4047 · pith_short_12: WD5IE7JUTDCF · pith_short_16: WD5IE7JUTDCFSF3L · pith_short_8: WD5IE7JU

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/WD5IE7JUTDCFSF3LAXQ5NSP3ZE \
  | 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: b0fa827d3498c459176b05e1d6c9fbc91d013ad67e96528c5f913f2e7c5fb55e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a0b9814de33a61f58dadbbaa0de4209206cea17e1e9066320386765c9f09d98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-01-20T23:12:02Z",
    "title_canon_sha256": "30ec5501d0dc991eb34968eb774a19db8545714ad0ef8a5ebb67f0379812a768"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4047",
    "kind": "arxiv",
    "version": 3
  }
}