Pith Number

pith:MR6YDXFI

pith:2011:MR6YDXFIFDVEO66MZ2MZJMK4F5

not attested not anchored not stored refs pending

Kinetic limits for pair-interaction driven master equations and biological swarm models

Bernt Wennberg, Eric Carlen, Pierre Degond

arxiv:1109.4538 v1 · 2011-09-21 · math.PR · math-ph · math.AP · 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{MR6YDXFIFDVEO66MZ2MZJMK4F5}

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	2026-05-18T02:54:47.411201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

647d81dca828ea477bccce9994b15c2f46dae82e92efaa8617db989580787317

Aliases

arxiv: 1109.4538 · arxiv_version: 1109.4538v1 · doi: 10.48550/arxiv.1109.4538 · pith_short_12: MR6YDXFIFDVE · pith_short_16: MR6YDXFIFDVEO66M · pith_short_8: MR6YDXFI

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/MR6YDXFIFDVEO66MZ2MZJMK4F5 \
  | 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: 647d81dca828ea477bccce9994b15c2f46dae82e92efaa8617db989580787317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7641bce60c6d5159f3f2dc8f6cec4844f8bdeb3b3653387586b527649ee357c",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-21T14:25:10Z",
    "title_canon_sha256": "3d1fe2efbae97e3728cf625a67813a213901e215a801d7705d868a551a6e2014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4538",
    "kind": "arxiv",
    "version": 1
  }
}