Pith Number

pith:57IJF3LF

pith:2017:57IJF3LFI26SQYPDDTL7ARTE2K

not attested not anchored not stored refs pending

Applications of WKB and Fokker-Planck methods in analyzing population extinction driven by weak demographic fluctuations

Xiang-Yi Li, Xiaoquan Yu

arxiv:1710.05639 v3 · 2017-10-16 · 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{57IJF3LFI26SQYPDDTL7ARTE2K}

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	2026-05-17T23:59:53.595205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd092ed6546bd2861e31cd7f04664d2ac8c8d39037a8ecb20061248d681af37

Aliases

arxiv: 1710.05639 · arxiv_version: 1710.05639v3 · doi: 10.48550/arxiv.1710.05639 · pith_short_12: 57IJF3LFI26S · pith_short_16: 57IJF3LFI26SQYPD · pith_short_8: 57IJF3LF

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/57IJF3LFI26SQYPDDTL7ARTE2K \
  | 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: efd092ed6546bd2861e31cd7f04664d2ac8c8d39037a8ecb20061248d681af37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9766f86b499991481bb0a7c567b279a69c64c545e9eb8bf68af559b1139b414a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2017-10-16T12:01:26Z",
    "title_canon_sha256": "6fdc2677cca4456252b225284d7272ef7996d897473c0ed51537f23975991db7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05639",
    "kind": "arxiv",
    "version": 3
  }
}