Pith Number

pith:WCLYEPOJ

pith:2011:WCLYEPOJWTGOVD35S74ANZFUS5

not attested not anchored not stored refs pending

Hamiltonian ODE's on a Space of Deficient Measures

H. K. Lei, L. Chayes, W. Gangbo

arxiv:1108.0136 v1 · 2011-07-31 · 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{WCLYEPOJWTGOVD35S74ANZFUS5}

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	2026-05-18T04:16:31.618782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b097823dc9b4ccea8f7d97f806e4b4977d1ad2316abeb458a72893c915a4980f

Aliases

arxiv: 1108.0136 · arxiv_version: 1108.0136v1 · doi: 10.48550/arxiv.1108.0136 · pith_short_12: WCLYEPOJWTGO · pith_short_16: WCLYEPOJWTGOVD35 · pith_short_8: WCLYEPOJ

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/WCLYEPOJWTGOVD35S74ANZFUS5 \
  | 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: b097823dc9b4ccea8f7d97f806e4b4977d1ad2316abeb458a72893c915a4980f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2faf8ba2815a6566a33b58d330f60a67309e5466aaeb8879a690282be980ef1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-31T05:09:39Z",
    "title_canon_sha256": "1addef8c4446fcf7c14425f12698535dcd8205d782a441074508b6480d72c78c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0136",
    "kind": "arxiv",
    "version": 1
  }
}