Pith Number

pith:GDL2ZT2D

pith:2009:GDL2ZT2DIXQSTQPLPGX75OQXWF

not attested not anchored not stored refs pending

Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints

Andrea Tosin, Benedetto Piccoli, Emiliano Cristiani

arxiv:0906.4702 v4 · 2009-06-25 · math-ph · math.MP · nlin.AO · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDL2ZT2DIXQSTQPLPGX75OQXWF}

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	2026-05-18T04:41:25.293299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30d7accf4345e129c1eb79affeba17b15f84f5978e39dd74c9cee238728bc13f

Aliases

arxiv: 0906.4702 · arxiv_version: 0906.4702v4 · doi: 10.48550/arxiv.0906.4702 · pith_short_12: GDL2ZT2DIXQS · pith_short_16: GDL2ZT2DIXQSTQPL · pith_short_8: GDL2ZT2D

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/GDL2ZT2DIXQSTQPLPGX75OQXWF \
  | 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: 30d7accf4345e129c1eb79affeba17b15f84f5978e39dd74c9cee238728bc13f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6916d11ee334d0f9d1aea0f9cfd340dd5a43f78f02396b6e950b3863beb4fdb9",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.AO",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-25T14:33:25Z",
    "title_canon_sha256": "d203257a8c424bf078d2a00b1dca53f1c39a3425b0a676ba7036dbf772663bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4702",
    "kind": "arxiv",
    "version": 4
  }
}