Pith Number

pith:X45JPLLE

pith:2020:X45JPLLEWL6TSLMB7IZGHD3VQ6

not attested not anchored not stored refs pending

A general theory of coexistence and extinction for stochastic ecological communities

Alexandru Hening, Dang H. Nguyen, Peter Chesson

arxiv:2007.09025 v2 · 2020-07-17 · q-bio.PE · math.DS · 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{X45JPLLEWL6TSLMB7IZGHD3VQ6}

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.

Cited by

1 paper in Pith

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing

Receipt and verification

First computed	2026-07-05T02:41:03.341547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3a97ad64b2fd392d81fa32638f75878109c8f9a7d4e65b6b795bb21a9c5c69

Aliases

arxiv: 2007.09025 · arxiv_version: 2007.09025v2 · doi: 10.48550/arxiv.2007.09025 · pith_short_12: X45JPLLEWL6T · pith_short_16: X45JPLLEWL6TSLMB · pith_short_8: X45JPLLE

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/X45JPLLEWL6TSLMB7IZGHD3VQ6 \
  | 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: bf3a97ad64b2fd392d81fa32638f75878109c8f9a7d4e65b6b795bb21a9c5c69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c550cef6073390d3bb2de80fa099713f9b59be14d05786f125fea0d1d1e23d5b",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2020-07-17T14:41:20Z",
    "title_canon_sha256": "c9bb1918b7c4e73c3172abecd0781ff4c499cb9bc86dca318253debc76890917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09025",
    "kind": "arxiv",
    "version": 2
  }
}