Pith Number

pith:HIBON4UK

pith:2015:HIBON4UKSEXH2HJM6X7B77CWG4

not attested not anchored not stored refs pending

Coagulation-fragmentation model for animal group-size statistics

Jian-Guo Liu, Pierre Degond, Robert L. Pego

arxiv:1510.06077 v1 · 2015-10-20 · math.AP · 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{HIBON4UKSEXH2HJM6X7B77CWG4}

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	2026-05-18T01:00:25.881375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a02e6f28a912e7d1d2cf5fe1ffc56372b2d4344d6f4fadbfa6439bb2a64e978

Aliases

arxiv: 1510.06077 · arxiv_version: 1510.06077v1 · doi: 10.48550/arxiv.1510.06077 · pith_short_12: HIBON4UKSEXH · pith_short_16: HIBON4UKSEXH2HJM · pith_short_8: HIBON4UK

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/HIBON4UKSEXH2HJM6X7B77CWG4 \
  | 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: 3a02e6f28a912e7d1d2cf5fe1ffc56372b2d4344d6f4fadbfa6439bb2a64e978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24824389ff2540b0cb99df88998d3f0a40aa5198990f39be2ade1446a9bb11cb",
    "cross_cats_sorted": [
      "nlin.AO",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-20T22:21:58Z",
    "title_canon_sha256": "2ed33e16594eecb5216a638b74bea43c81240689d400918b307011b04b2294f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06077",
    "kind": "arxiv",
    "version": 1
  }
}