Pith Number

pith:VKPIHXIT

pith:2014:VKPIHXIT5WGUB3ONXKRNMDQB7K

not attested not anchored not stored refs pending

Pushed beyond the brink: Allee effects, environmental stochasticity, and extinction

Gregory Roth, Sebastian Schreiber

arxiv:1405.1686 v1 · 2014-05-07 · 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{VKPIHXIT5WGUB3ONXKRNMDQB7K}

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	2026-05-18T02:52:24.127399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa9e83dd13ed8d40edcdbaa2d60e01faa2cf858aae6c14dc332ae5edadba31b4

Aliases

arxiv: 1405.1686 · arxiv_version: 1405.1686v1 · doi: 10.48550/arxiv.1405.1686 · pith_short_12: VKPIHXIT5WGU · pith_short_16: VKPIHXIT5WGUB3ON · pith_short_8: VKPIHXIT

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/VKPIHXIT5WGUB3ONXKRNMDQB7K \
  | 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: aa9e83dd13ed8d40edcdbaa2d60e01faa2cf858aae6c14dc332ae5edadba31b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1832cf41b73c364f3c70b2c4ea26a53a6eb57437924096fb387bf6c160248725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-07T18:15:54Z",
    "title_canon_sha256": "b57efd69f7fbba185f56509a750a06a18c6c1ba7d0fe39ddd781355b09444ebf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1686",
    "kind": "arxiv",
    "version": 1
  }
}