Pith Number

pith:DWPFEBER

pith:2012:DWPFEBERZZG7FBN7UXKKKFYRAT

not attested not anchored not stored refs pending

Multi-time scales in adaptive dynamics: microscopic interpretation of a trait substitution tree model

Anton Bovier, Shi-dong Wang

arxiv:1207.4690 v1 · 2012-07-19 · 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{DWPFEBERZZG7FBN7UXKKKFYRAT}

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	2026-05-18T03:50:36.074363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d9e520491ce4df285bfa5d4a5171104df1cdb404312f9567016fface16b40d7

Aliases

arxiv: 1207.4690 · arxiv_version: 1207.4690v1 · doi: 10.48550/arxiv.1207.4690 · pith_short_12: DWPFEBERZZG7 · pith_short_16: DWPFEBERZZG7FBN7 · pith_short_8: DWPFEBER

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/DWPFEBERZZG7FBN7UXKKKFYRAT \
  | 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: 1d9e520491ce4df285bfa5d4a5171104df1cdb404312f9567016fface16b40d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13521ff39b4aa918f1452073cc15844373012e4af9636713f01fde9aa529266b",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-19T14:48:39Z",
    "title_canon_sha256": "241fcddae514bf491ec4344e9ca476688d2485593df8d7274d6a12a8fb9195eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4690",
    "kind": "arxiv",
    "version": 1
  }
}