Pith Number

pith:ZMS6LACE

pith:2023:ZMS6LACEC4ESREBAADPOLWKU4M

not attested not anchored not stored refs pending

Critical numerosity in collective behavior

Jacob Calvert

arxiv:2302.01919 v1 · 2023-02-03 · math.PR · 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{ZMS6LACEC4ESREBAADPOLWKU4M}

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	2026-07-05T05:38:37.929857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb25e58044170928902000dee5d954e3383047a7fce37f783c3b6ab90ebc47b0

Aliases

arxiv: 2302.01919 · arxiv_version: 2302.01919v1 · doi: 10.48550/arxiv.2302.01919 · pith_short_12: ZMS6LACEC4ES · pith_short_16: ZMS6LACEC4ESREBA · pith_short_8: ZMS6LACE

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/ZMS6LACEC4ESREBAADPOLWKU4M \
  | 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: cb25e58044170928902000dee5d954e3383047a7fce37f783c3b6ab90ebc47b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c0e781c893646e482a5476d296f25d1e0c3e392f6ae6263ee30344fe3b77c17",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-02-03T18:53:17Z",
    "title_canon_sha256": "31eb6f1ecb2207e9f07dc03597e93c00ce641a66769f00207ed47b498295bde0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.01919",
    "kind": "arxiv",
    "version": 1
  }
}