Pith Number

pith:GPWDZQFZ

pith:2012:GPWDZQFZCWETARXFCR4LHASXBQ

not attested not anchored not stored refs pending

Hamiltonian Evolution of Monokinetic Measures with Rough Momentum Profile

Claude Bardos, Fran\c{c}ois Golse, Peter Markowich, Thierry Paul

arxiv:1207.5927 v2 · 2012-07-25 · 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{GPWDZQFZCWETARXFCR4LHASXBQ}

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	2026-05-18T02:17:52.595095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ec3cc0b915893046e51478b382570c2f8332ae191c160a2c8b8deeafb4063c

Aliases

arxiv: 1207.5927 · arxiv_version: 1207.5927v2 · doi: 10.48550/arxiv.1207.5927 · pith_short_12: GPWDZQFZCWET · pith_short_16: GPWDZQFZCWETARXF · pith_short_8: GPWDZQFZ

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/GPWDZQFZCWETARXFCR4LHASXBQ \
  | 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: 33ec3cc0b915893046e51478b382570c2f8332ae191c160a2c8b8deeafb4063c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e5be40476b266ed8705b6696be2c5d17d413b9524b256a3ac1e321a2af0c58b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-25T08:58:36Z",
    "title_canon_sha256": "d6cfee7b912b9eb50dbca946323d3200b6e61b627bb4d13ff537293f69c3b73d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5927",
    "kind": "arxiv",
    "version": 2
  }
}