Pith Number

pith:X7BROMON

pith:2015:X7BROMON7K2OSV65XSUUXVHKYB

not attested not anchored not stored refs pending

On branching process with rare neutral mutation

Airam Blancas Ben\'itez, V\'ictor Rivero

arxiv:1508.01901 v1 · 2015-08-08 · 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{X7BROMON7K2OSV65XSUUXVHKYB}

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	2026-05-18T01:35:37.626932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc31731cdfab4e957ddbca94bd4eac07a62add174c6c681dac261d2258307e0

Aliases

arxiv: 1508.01901 · arxiv_version: 1508.01901v1 · doi: 10.48550/arxiv.1508.01901 · pith_short_12: X7BROMON7K2O · pith_short_16: X7BROMON7K2OSV65 · pith_short_8: X7BROMON

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/X7BROMON7K2OSV65XSUUXVHKYB \
  | 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: bfc31731cdfab4e957ddbca94bd4eac07a62add174c6c681dac261d2258307e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05d2ea2038ef9a83155a707d9d6e28163d179051e442888cd425c8de57ef23db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-08T13:25:08Z",
    "title_canon_sha256": "2978e480e41dbfda7d52c344bb9c441abcb52c90f031658a626f1087c2af0306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01901",
    "kind": "arxiv",
    "version": 1
  }
}