Pith Number

pith:WWNGLXDE

pith:2013:WWNGLXDEVA6A7VWA23YTBMHVAL

not attested not anchored not stored refs pending

Recombination processes and non-linear Markov chains

Aleksandre Rybko, Anastasia Kalinina, Mikhail Gelfand, Sergey Pirogov

arxiv:1312.7653 v3 · 2013-12-30 · math.PR · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWNGLXDEVA6A7VWA23YTBMHVAL}

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	2026-05-18T01:55:53.558116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59a65dc64a83c0fd6c0d6f130b0f502e578e4d9d7ba01372f7da99b9102c632

Aliases

arxiv: 1312.7653 · arxiv_version: 1312.7653v3 · doi: 10.48550/arxiv.1312.7653 · pith_short_12: WWNGLXDEVA6A · pith_short_16: WWNGLXDEVA6A7VWA · pith_short_8: WWNGLXDE

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/WWNGLXDEVA6A7VWA23YTBMHVAL \
  | 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: b59a65dc64a83c0fd6c0d6f130b0f502e578e4d9d7ba01372f7da99b9102c632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f88cc1128a59a94816d1312dba9bba528f8140434059a7a992e52a1f5259d941",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-30T09:03:45Z",
    "title_canon_sha256": "0bb871555c7d5edc947bc2d933cda21b7870d419eeb4bc2eba9b2ab0d0897e7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7653",
    "kind": "arxiv",
    "version": 3
  }
}