Pith Number

pith:Q5RFLHS7

pith:2011:Q5RFLHS7BVZXF2M54AS22HCK5E

not attested not anchored not stored refs pending

Splitting trees stopped when the first clock rings and Vervaat's transformation

Amaury Lambert, Pieter Trapman

arxiv:1110.2929 v1 · 2011-10-13 · 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{Q5RFLHS7BVZXF2M54AS22HCK5E}

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	2026-05-18T04:11:06.610806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8762559e5f0d7372e99de025ad1c4ae9097bebe0adadf16355acf39fa259b047

Aliases

arxiv: 1110.2929 · arxiv_version: 1110.2929v1 · doi: 10.48550/arxiv.1110.2929 · pith_short_12: Q5RFLHS7BVZX · pith_short_16: Q5RFLHS7BVZXF2M5 · pith_short_8: Q5RFLHS7

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/Q5RFLHS7BVZXF2M54AS22HCK5E \
  | 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: 8762559e5f0d7372e99de025ad1c4ae9097bebe0adadf16355acf39fa259b047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdc749a5f02e5f3f5ff8e2c0277f74698768db3d486c80a5fdf0cc69dbeef524",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-13T13:08:53Z",
    "title_canon_sha256": "828c98d5f327088a906de76322f5a5c3ff15af95c8b2ed1c512fda09cdb24a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2929",
    "kind": "arxiv",
    "version": 1
  }
}