Pith Number

pith:WSJG52GW

pith:2013:WSJG52GWRM24RKEVBIVOVWIUY7

not attested not anchored not stored refs pending

Crystal Growth Inside an Octant

Jason Olejarz, P. L. Krapivsky

arxiv:1306.4720 v2 · 2013-06-19 · cond-mat.stat-mech · math-ph · math.MP · 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{WSJG52GWRM24RKEVBIVOVWIUY7}

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	2026-05-18T02:47:24.391043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4926ee8d68b35c8a8950a2aead914c7ded9b3d8a38ae3f3a87e1ec1e0dda613

Aliases

arxiv: 1306.4720 · arxiv_version: 1306.4720v2 · doi: 10.48550/arxiv.1306.4720 · pith_short_12: WSJG52GWRM24 · pith_short_16: WSJG52GWRM24RKEV · pith_short_8: WSJG52GW

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/WSJG52GWRM24RKEVBIVOVWIUY7 \
  | 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: b4926ee8d68b35c8a8950a2aead914c7ded9b3d8a38ae3f3a87e1ec1e0dda613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05eec818c9fc63f7af39647dff16b0bd515585c846340d7715a87def6d38c52b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-06-19T23:48:59Z",
    "title_canon_sha256": "f1819236a65d7156b8c1ee2c8ddc1670e274b97cc8f7cfc53f212ccc1486d2f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4720",
    "kind": "arxiv",
    "version": 2
  }
}