Pith Number

pith:KOHEC3B3

pith:2010:KOHEC3B3AXR4QPTEKLZL5RPH4Y

not attested not anchored not stored refs pending

Existence and approximation of probability measure solutions to models of collective behaviors

Andrea Tosin, Paolo Frasca

arxiv:1012.2395 v1 · 2010-12-10 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOHEC3B3AXR4QPTEKLZL5RPH4Y}

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	2026-05-18T04:00:59.958406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

538e416c3b05e3c83e6452f2bec5e7e627a6798a8415fde5bb8f4547849cdcea

Aliases

arxiv: 1012.2395 · arxiv_version: 1012.2395v1 · doi: 10.48550/arxiv.1012.2395 · pith_short_12: KOHEC3B3AXR4 · pith_short_16: KOHEC3B3AXR4QPTE · pith_short_8: KOHEC3B3

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/KOHEC3B3AXR4QPTEKLZL5RPH4Y \
  | 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: 538e416c3b05e3c83e6452f2bec5e7e627a6798a8415fde5bb8f4547849cdcea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73b59661cbdb53301dc76c8dbd8155690ee844c09cc7d22b1ced3db2fe3ae785",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-10T21:19:35Z",
    "title_canon_sha256": "57b8225b6e2d1734da94d1db100204312eecb820f67332587e2ba892aa712213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2395",
    "kind": "arxiv",
    "version": 1
  }
}