Pith Number

pith:NWY7XTDU

pith:2011:NWY7XTDU4BBVS4MCMQXOHBTIIF

not attested not anchored not stored refs pending

Degenerate Diffusion Operators Arising in Population Biology

Charles L. Epstein, Rafe Mazzeo

arxiv:1110.0032 v1 · 2011-09-30 · math.AP · 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{NWY7XTDU4BBVS4MCMQXOHBTIIF}

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	2026-05-18T04:11:50.909532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6db1fbcc74e043597182642ee386684144b8af3fc7071d30ab95e57198d709e9

Aliases

arxiv: 1110.0032 · arxiv_version: 1110.0032v1 · doi: 10.48550/arxiv.1110.0032 · pith_short_12: NWY7XTDU4BBV · pith_short_16: NWY7XTDU4BBVS4MC · pith_short_8: NWY7XTDU

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/NWY7XTDU4BBVS4MCMQXOHBTIIF \
  | 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: 6db1fbcc74e043597182642ee386684144b8af3fc7071d30ab95e57198d709e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88c6d68cbc3c9f3d61c17bf9cd0cb82e5808e3ced72f3878b1cba95abd7f0619",
    "cross_cats_sorted": [
      "math.PR",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-30T21:19:58Z",
    "title_canon_sha256": "4376459334a99f2f4d9783c727dd5c96e836aaa2ce51b95262e917e4e86536a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0032",
    "kind": "arxiv",
    "version": 1
  }
}