Pith Number

pith:WJSIWX42

pith:2007:WJSIWX42AQAZZ5OW5PMGRA3VVM

not attested not anchored not stored refs pending

Asymptotic behavior of the rate of adaptation

Alison Etheridge, Charles Cuthbertson, Feng Yu

arxiv:0708.3453 v4 · 2007-08-25 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJSIWX42AQAZZ5OW5PMGRA3VVM}

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	2026-05-18T04:39:18.550586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2648b5f9a04019cf5d6ebd8688375ab3c11284a68e111d57599b6ab3dd8e37b

Aliases

arxiv: 0708.3453 · arxiv_version: 0708.3453v4 · doi: 10.48550/arxiv.0708.3453 · pith_short_12: WJSIWX42AQAZ · pith_short_16: WJSIWX42AQAZZ5OW · pith_short_8: WJSIWX42

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/WJSIWX42AQAZZ5OW5PMGRA3VVM \
  | 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: b2648b5f9a04019cf5d6ebd8688375ab3c11284a68e111d57599b6ab3dd8e37b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff4de2b1dbe7cd70a39cbf353bccb48631f7414dffc66dd805914592567d7eaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-08-25T22:58:24Z",
    "title_canon_sha256": "02bce8e3e99ca15351aabcdec2e6eecdf5e2d9f39c877c53c233cea13d1849dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3453",
    "kind": "arxiv",
    "version": 4
  }
}