Pith Number

pith:3DSHDLND

pith:2016:3DSHDLNDFHNH5FBZFDJIAHMHRB

not attested not anchored not stored refs pending

Birth/birth-death processes and their computable transition probabilities with biological applications

Forrest W. Crawford, Jason Xu, Lam Si Tung Ho, Marc A. Suchard, Vladimir N. Minin

arxiv:1603.03819 v2 · 2016-03-11 · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DSHDLNDFHNH5FBZFDJIAHMHRB}

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	2026-05-18T00:38:32.187849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e471ada329da7e943928d2801d8788732d6a401d51c5d099587823b731a0c2

Aliases

arxiv: 1603.03819 · arxiv_version: 1603.03819v2 · doi: 10.48550/arxiv.1603.03819 · pith_short_12: 3DSHDLNDFHNH · pith_short_16: 3DSHDLNDFHNH5FBZ · pith_short_8: 3DSHDLND

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/3DSHDLNDFHNH5FBZFDJIAHMHRB \
  | 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: d8e471ada329da7e943928d2801d8788732d6a401d51c5d099587823b731a0c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "446f5281a53eea4a2480db275c243fe78c9c54b4e05af6ab008c1e2245aff036",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2016-03-11T23:17:12Z",
    "title_canon_sha256": "5f532711b8f41c35fa90959d4ce659ab17a6a93d6e1f5c1a91dc9c891337ddaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03819",
    "kind": "arxiv",
    "version": 2
  }
}