Pith Number

pith:S3M422LY

pith:2016:S3M422LYLPNVGBI7FUSP4XPHQK

not attested not anchored not stored refs pending

The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime

Franca Hoffmann, Jose Antonio Carrillo, Vincent Calvez

arxiv:1612.08225 v1 · 2016-12-24 · 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{S3M422LYLPNVGBI7FUSP4XPHQK}

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	2026-05-18T00:53:57.224600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96d9cd69785bdb53051f2d24fe5de782ad9a14f973235012810d883145599596

Aliases

arxiv: 1612.08225 · arxiv_version: 1612.08225v1 · doi: 10.48550/arxiv.1612.08225 · pith_short_12: S3M422LYLPNV · pith_short_16: S3M422LYLPNVGBI7 · pith_short_8: S3M422LY

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/S3M422LYLPNVGBI7FUSP4XPHQK \
  | 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: 96d9cd69785bdb53051f2d24fe5de782ad9a14f973235012810d883145599596

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16bf06b34c617bf1f534e29fb53f674ceeaf41efce68ed4d2175a2ad799231d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-24T23:35:40Z",
    "title_canon_sha256": "94df822d86c7ea7b9ba45942f9027f2480e0192f1aa2845ca66f26ee3094ff3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08225",
    "kind": "arxiv",
    "version": 1
  }
}