Pith Number

pith:4WZ36X3J

pith:2015:4WZ36X3JMUYXXNBRIWSOVTCJ5G

not attested not anchored not stored refs pending

Counting Branches in Trees Using Games

Arnaud Carayol, Axel Haddad, Olivier Serre

arxiv:1505.03852 v1 · 2015-05-14 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WZ36X3JMUYXXNBRIWSOVTCJ5G}

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	2026-05-18T02:09:52.816776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b3bf5f6965317bb43145a4eacc49e9aaa3544bd62aba170768bd7eb7287ff7

Aliases

arxiv: 1505.03852 · arxiv_version: 1505.03852v1 · doi: 10.48550/arxiv.1505.03852 · pith_short_12: 4WZ36X3JMUYX · pith_short_16: 4WZ36X3JMUYXXNBR · pith_short_8: 4WZ36X3J

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/4WZ36X3JMUYXXNBRIWSOVTCJ5G \
  | 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: e5b3bf5f6965317bb43145a4eacc49e9aaa3544bd62aba170768bd7eb7287ff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1135541cb377a1d5b9caaaf9b96f1c688e040fe0953b76122769bdb2fc250889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-05-14T19:48:57Z",
    "title_canon_sha256": "721bdae11746022d0023dbe9b0c3dcbe708f3437e8c77de7b3e2751ed3a83abd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03852",
    "kind": "arxiv",
    "version": 1
  }
}