Pith Number

pith:6LLXARHG

pith:2013:6LLXARHGEMFDNAVL4FY2JDUVZF

not attested not anchored not stored refs pending

Comparing first order microscopic and macroscopic crowd models for an increasing number of massive agents

Alessandro Corbetta, Andrea Tosin

arxiv:1306.2472 v3 · 2013-06-11 · math.AP · math.DS · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LLXARHGEMFDNAVL4FY2JDUVZF}

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	2026-05-18T01:18:49.663471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2d77044e6230a3682abe171a48e95c9784f740d881ef7f8871c7826954a28f3

Aliases

arxiv: 1306.2472 · arxiv_version: 1306.2472v3 · doi: 10.48550/arxiv.1306.2472 · pith_short_12: 6LLXARHGEMFD · pith_short_16: 6LLXARHGEMFDNAVL · pith_short_8: 6LLXARHG

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/6LLXARHGEMFDNAVL4FY2JDUVZF \
  | 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: f2d77044e6230a3682abe171a48e95c9784f740d881ef7f8871c7826954a28f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ae5cc5d78ea59438e9462d78027a302b90ceb20d2392bd135fb0bc02a3d987",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-11T10:06:03Z",
    "title_canon_sha256": "a54f8b7c4fe3c367419451f5d2c564c8c8f433790741e2f7fd58bc3b5f7acd5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2472",
    "kind": "arxiv",
    "version": 3
  }
}