Pith Number

pith:FFUMG2RV

pith:2011:FFUMG2RVFAMTLW4WR6ILJMCLES

not attested not anchored not stored refs pending

Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential

Francis Nier (IRMAR), Zied Ammari (IRMAR)

arxiv:1111.5918 v2 · 2011-11-25 · 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{FFUMG2RVFAMTLW4WR6ILJMCLES}

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	2026-05-18T02:49:03.494526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2968c36a35281935db968f90b4b04b2490887ba71ff9cdead303f58e86413676

Aliases

arxiv: 1111.5918 · arxiv_version: 1111.5918v2 · doi: 10.48550/arxiv.1111.5918 · pith_short_12: FFUMG2RVFAMT · pith_short_16: FFUMG2RVFAMTLW4W · pith_short_8: FFUMG2RV

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/FFUMG2RVFAMTLW4WR6ILJMCLES \
  | 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: 2968c36a35281935db968f90b4b04b2490887ba71ff9cdead303f58e86413676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7727a02be028617777706e25f65b218a2efb5c372650a809038b17b7b0a79b4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-25T09:01:30Z",
    "title_canon_sha256": "ff44dd2124a8a9f6d0e8a86bcb4e1a7f0859ab7a7249fea035376db24ca03de7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5918",
    "kind": "arxiv",
    "version": 2
  }
}