Pith Number

pith:HUEJFAQX

pith:2024:HUEJFAQXM5BWAX7ZQVVQ4RIMZR

not attested not anchored not stored refs pending

Revealing Physical Mechanisms of Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux

Denis Patterson, Jie Su, Jin Wang, Simon Asher Levin, Wei Wu

arxiv:2412.03978 v2 · 2024-12-05 · physics.bio-ph · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUEJFAQXM5BWAX7ZQVVQ4RIMZR}

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	2026-07-05T09:49:47.004633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d089282176743605ff9856b0e450ccc5d233a7dc0d107040b65fc967e04a607

Aliases

arxiv: 2412.03978 · arxiv_version: 2412.03978v2 · doi: 10.48550/arxiv.2412.03978 · pith_short_12: HUEJFAQXM5BW · pith_short_16: HUEJFAQXM5BWAX7Z · pith_short_8: HUEJFAQX

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/HUEJFAQXM5BWAX7ZQVVQ4RIMZR \
  | 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: 3d089282176743605ff9856b0e450ccc5d233a7dc0d107040b65fc967e04a607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81ae19a08d9f4116d6c0d69e102c9dae846f3119e10da8f853914603c80fa0d6",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2024-12-05T08:53:33Z",
    "title_canon_sha256": "3bd845ba882fcefb5c8bc5ac35ef9d2a70bb64cf792c7e0a08cd451bf4cf11d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03978",
    "kind": "arxiv",
    "version": 2
  }
}