Pith Number

pith:GKXK7ZJ7

pith:2014:GKXK7ZJ7V74G5IREK56QKUQGM4

not attested not anchored not stored refs pending

Coupling on weighted branching trees

Mariana Olvera-Cravioto, Ningyuan Chen

arxiv:1410.1050 v4 · 2014-10-04 · 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{GKXK7ZJ7V74G5IREK56QKUQGM4}

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	2026-05-18T01:38:54.155752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32aeafe53faff86ea224577d0552066703f4c4c404d2fbcf7e5c56e863754ba6

Aliases

arxiv: 1410.1050 · arxiv_version: 1410.1050v4 · doi: 10.48550/arxiv.1410.1050 · pith_short_12: GKXK7ZJ7V74G · pith_short_16: GKXK7ZJ7V74G5IRE · pith_short_8: GKXK7ZJ7

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/GKXK7ZJ7V74G5IREK56QKUQGM4 \
  | 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: 32aeafe53faff86ea224577d0552066703f4c4c404d2fbcf7e5c56e863754ba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "101dd593e41759fe9526f7df6becf05b603f34ad4e0d75c55ed239869352b9f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-04T14:39:39Z",
    "title_canon_sha256": "b3e0e5d4dc82e60bd9cc1773d736804bc8e3de266ce554ae6dd200eeb32cf4c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1050",
    "kind": "arxiv",
    "version": 4
  }
}