Pith Number

pith:GXCNFM6M

pith:2015:GXCNFM6MVQGGPJLNHUFGZXIRPI

not attested not anchored not stored refs pending

Universality in a class of fragmentation-coalescence processes

Andreas E. Kyprianou, Steven W. Pagett, Tim Rogers

arxiv:1504.03196 v2 · 2015-04-13 · 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{GXCNFM6MVQGGPJLNHUFGZXIRPI}

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	2026-05-18T00:51:58.384562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c4d2b3ccac0c67a56d3d0a6cdd117a35ac841eed41cab52f5f0c982a2f07b4

Aliases

arxiv: 1504.03196 · arxiv_version: 1504.03196v2 · doi: 10.48550/arxiv.1504.03196 · pith_short_12: GXCNFM6MVQGG · pith_short_16: GXCNFM6MVQGGPJLN · pith_short_8: GXCNFM6M

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/GXCNFM6MVQGGPJLNHUFGZXIRPI \
  | 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: 35c4d2b3ccac0c67a56d3d0a6cdd117a35ac841eed41cab52f5f0c982a2f07b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "439c2119f4b4c32b10b514a0cc1e0261ee7a680502d3a179b34117228dd2a176",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-13T14:23:03Z",
    "title_canon_sha256": "4215717a7d9ffbdfab80de84e76ee0c86f3c322b57cbbda873e539041ee45897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03196",
    "kind": "arxiv",
    "version": 2
  }
}