Pith Number

pith:M4OBY2K4

pith:2013:M4OBY2K4FHZUG2CPJM2ZLQXF55

not attested not anchored not stored refs pending

No early warning signals for stochastic transitions: insights from large deviation theory

Alan Hastings, Carl Boettiger

arxiv:1307.4415 v1 · 2013-07-16 · 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{M4OBY2K4FHZUG2CPJM2ZLQXF55}

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	2026-05-18T03:18:18.001095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671c1c695c29f343684f4b3595c2e5ef7fb8e4c5f25d3fa73563a25542320f4d

Aliases

arxiv: 1307.4415 · arxiv_version: 1307.4415v1 · doi: 10.48550/arxiv.1307.4415 · pith_short_12: M4OBY2K4FHZU · pith_short_16: M4OBY2K4FHZUG2CP · pith_short_8: M4OBY2K4

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/M4OBY2K4FHZUG2CPJM2ZLQXF55 \
  | 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: 671c1c695c29f343684f4b3595c2e5ef7fb8e4c5f25d3fa73563a25542320f4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6b47c119933ac3096b9896a332633fc0166c55f5966f6571765cc7e6578cedc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2013-07-16T20:11:28Z",
    "title_canon_sha256": "b7251c9a5cd3a68429a185170e008bbb05d7f2984f6c4aa024a2217c2cd885fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4415",
    "kind": "arxiv",
    "version": 1
  }
}