Pith Number

pith:SF3DIMPF

pith:2015:SF3DIMPFZU4GTJR3ILKJVAVF2N

not attested not anchored not stored refs pending

Biological aggregation driven by social and environmental factors: A nonlocal model and its degenerate Cahn-Hilliard approximation

Andrew J. Bernoff, Chad M. Topaz

arxiv:1507.04259 v2 · 2015-07-15 · nlin.PS · nlin.AO · 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{SF3DIMPFZU4GTJR3ILKJVAVF2N}

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	2026-05-18T01:14:58.897115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91763431e5cd3869a63b42d49a82a5d34e63fe93dd38e51bae2caf2318ebfa50

Aliases

arxiv: 1507.04259 · arxiv_version: 1507.04259v2 · doi: 10.48550/arxiv.1507.04259 · pith_short_12: SF3DIMPFZU4G · pith_short_16: SF3DIMPFZU4GTJR3 · pith_short_8: SF3DIMPF

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/SF3DIMPFZU4GTJR3ILKJVAVF2N \
  | 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: 91763431e5cd3869a63b42d49a82a5d34e63fe93dd38e51bae2caf2318ebfa50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5799e60b873620414aaec6dd5bc394ac86209463442cb0d5615d652d610ceee",
    "cross_cats_sorted": [
      "nlin.AO",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2015-07-15T15:37:57Z",
    "title_canon_sha256": "57d4b87a189a10cb3233d20dc4e403905560f9b992e44afde98ddd8dd1862eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04259",
    "kind": "arxiv",
    "version": 2
  }
}