Pith Number

pith:TD6L5CGH

pith:2019:TD6L5CGHC3XRIXHHLA4WZHRSQ5

not attested not anchored not stored refs pending

A particle system approach to aggregation phenomena

Franco Flandoli, Marta Leocata

arxiv:1901.11318 v1 · 2019-01-31 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TD6L5CGHC3XRIXHHLA4WZHRSQ5}

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	2026-05-17T23:40:11.296875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98fcbe88c716ef145ce758396c9e32874284d2e4ac0236ce8429c9ebf0e403ff

Aliases

arxiv: 1901.11318 · arxiv_version: 1901.11318v1 · doi: 10.48550/arxiv.1901.11318 · pith_short_12: TD6L5CGHC3XR · pith_short_16: TD6L5CGHC3XRIXHH · pith_short_8: TD6L5CGH

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/TD6L5CGHC3XRIXHHLA4WZHRSQ5 \
  | 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: 98fcbe88c716ef145ce758396c9e32874284d2e4ac0236ce8429c9ebf0e403ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3647e59a824f5195109ba1f26444154ab9fd2e921cf081c2cc58b06a9860003d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-31T12:00:52Z",
    "title_canon_sha256": "0f7626f20a7c43534e22e5faa5a9cccf6d993f0fead92135eeb3a34799bfff6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11318",
    "kind": "arxiv",
    "version": 1
  }
}