Pith Number

pith:FPMLHNAP

pith:2019:FPMLHNAPQYYWUZIZ7LQHZ2AWTF

not attested not anchored not stored refs pending

Wasserstein Hamiltonian flows

Haomin Zhou, Shui-Nee Chow, Wuchen Li

arxiv:1903.01088 v2 · 2019-03-04 · math.DS · 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{FPMLHNAPQYYWUZIZ7LQHZ2AWTF}

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	2026-07-05T00:26:06.698551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bd8b3b40f86316a6519fae07ce816995f978a6a88a42344e539868dddc1cb41

Aliases

arxiv: 1903.01088 · arxiv_version: 1903.01088v2 · doi: 10.48550/arxiv.1903.01088 · pith_short_12: FPMLHNAPQYYW · pith_short_16: FPMLHNAPQYYWUZIZ · pith_short_8: FPMLHNAP

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/FPMLHNAPQYYWUZIZ7LQHZ2AWTF \
  | 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: 2bd8b3b40f86316a6519fae07ce816995f978a6a88a42344e539868dddc1cb41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d4064e77f9bb590ec24da073791ecb3ca9dc327d6e7c009c46312b1f163c1f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-03-04T06:30:18Z",
    "title_canon_sha256": "d5b69e3697fa9c73cd90631f00a4d4da4e721c8a4be3a4b565f9c2f9911b0d02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01088",
    "kind": "arxiv",
    "version": 2
  }
}