Pith Number

pith:ZTRZJZDE

pith:2015:ZTRZJZDETUWZ4RCG3RW5BLRNFL

not attested not anchored not stored refs pending

And/or trees: A local limit point of view

C\'ecile Mailler, Nicolas Broutin

arxiv:1510.06691 v2 · 2015-10-22 · 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{ZTRZJZDETUWZ4RCG3RW5BLRNFL}

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	2026-05-18T00:42:49.066699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cce394e4649d2d9e4446dc6dd0ae2d2acc31f94c589e9f8926eb0917ab6b7aa9

Aliases

arxiv: 1510.06691 · arxiv_version: 1510.06691v2 · doi: 10.48550/arxiv.1510.06691 · pith_short_12: ZTRZJZDETUWZ · pith_short_16: ZTRZJZDETUWZ4RCG · pith_short_8: ZTRZJZDE

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/ZTRZJZDETUWZ4RCG3RW5BLRNFL \
  | 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: cce394e4649d2d9e4446dc6dd0ae2d2acc31f94c589e9f8926eb0917ab6b7aa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b996259dee599cc51a1e7c4b77d03c4fc46ba77f4da4661110a816c4574c5eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-22T17:11:38Z",
    "title_canon_sha256": "cae2613b163eda099eee74312de1202eb70bf5cc50f2b0e015d271b3a598ba67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06691",
    "kind": "arxiv",
    "version": 2
  }
}