Pith Number

pith:S33SVTHR

pith:2005:S33SVTHRXFGDPRAK76RDVRWXXJ

not attested not anchored not stored refs pending

Entropy-driven phase transition in a polydisperse hard-rods lattice system

Dmitry Ioffe, Milos Zahradnik, Yvan Velenik (LMRS)

arxiv:math/0503222 v1 · 2005-03-11 · math.PR · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S33SVTHRXFGDPRAK76RDVRWXXJ}

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	2026-05-18T04:14:46.405175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f72accf1b94c37c40affa23ac6d7ba68ee1475da39c124f2acd9b5d914abcc

Aliases

arxiv: math/0503222 · arxiv_version: math/0503222v1 · doi: 10.48550/arxiv.math/0503222 · pith_short_12: S33SVTHRXFGD · pith_short_16: S33SVTHRXFGDPRAK · pith_short_8: S33SVTHR

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/S33SVTHRXFGDPRAK76RDVRWXXJ \
  | 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: 96f72accf1b94c37c40affa23ac6d7ba68ee1475da39c124f2acd9b5d914abcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ffc933171ec28bed9ea8c4670ef18c4e0cc5abd2c2d06a7ab010f297f9ff08",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-03-11T17:06:20Z",
    "title_canon_sha256": "12e1eaa4478b014c9d9aae8da160597d0217350d89e59f8f507df7627c0f1923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503222",
    "kind": "arxiv",
    "version": 1
  }
}