Pith Number

pith:4XVF2VZO

pith:2014:4XVF2VZO2V77SQL5FSULL2WDYI

not attested not anchored not stored refs pending

Exact formulas for random growth with half-flat initial data

Daniel Remenik, Janosch Ortmann, Jeremy Quastel

arxiv:1407.8484 v3 · 2014-07-31 · math.PR · math-ph · 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{4XVF2VZO2V77SQL5FSULL2WDYI}

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	2026-05-18T01:23:04.492923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ea5d572ed57ff9417d2ca8b5eac3c22a2ba8cf532fc940f02aecce45de280e

Aliases

arxiv: 1407.8484 · arxiv_version: 1407.8484v3 · doi: 10.48550/arxiv.1407.8484 · pith_short_12: 4XVF2VZO2V77 · pith_short_16: 4XVF2VZO2V77SQL5 · pith_short_8: 4XVF2VZO

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/4XVF2VZO2V77SQL5FSULL2WDYI \
  | 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: e5ea5d572ed57ff9417d2ca8b5eac3c22a2ba8cf532fc940f02aecce45de280e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65687c7f82e10b91ad66b224ab245a8dc7a568abd0e48fac0c0e373f5235b335",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-31T16:40:04Z",
    "title_canon_sha256": "19aac3482ca4607c438e3569ffe7b0136346e14b67b9ea179f0e333af9c12324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8484",
    "kind": "arxiv",
    "version": 3
  }
}