Pith Number

pith:D2Y5RDRR

pith:2015:D2Y5RDRROB2ASWARJAWOJTOROP

not attested not anchored not stored refs pending

A hierarchical kinetic theory of birth, death, and fission in age-structured interacting populations

Chris D Greenman, Tom Chou

arxiv:1512.05432 v2 · 2015-12-17 · math.PR · physics.bio-ph · 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{D2Y5RDRROB2ASWARJAWOJTOROP}

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	2026-05-18T01:12:12.642169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eb1d88e317074095811482ce4cdd173f471c579cf0be5e6033723b4a25dedbf

Aliases

arxiv: 1512.05432 · arxiv_version: 1512.05432v2 · doi: 10.48550/arxiv.1512.05432 · pith_short_12: D2Y5RDRROB2A · pith_short_16: D2Y5RDRROB2ASWAR · pith_short_8: D2Y5RDRR

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/D2Y5RDRROB2ASWARJAWOJTOROP \
  | 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: 1eb1d88e317074095811482ce4cdd173f471c579cf0be5e6033723b4a25dedbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1038bd350746e54177721f849c68575b84a89af8be8eabb5aa9d586fe21031be",
    "cross_cats_sorted": [
      "physics.bio-ph",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-17T01:21:12Z",
    "title_canon_sha256": "b80ebfa9b3056609bc10d6590e19996dca85ee144215d0cf365fd5bf4dd19a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05432",
    "kind": "arxiv",
    "version": 2
  }
}