Pith Number

pith:YXFV7VWR

pith:2018:YXFV7VWR2EO6V6J5PJN4NHZPTX

not attested not anchored not stored refs pending

Curvature of Hypergraphs via Multi-Marginal Optimal Transport

James Evans, Shahab Asoodeh, Tingran Gao

arxiv:1803.08584 v1 · 2018-03-22 · cs.IT · cs.DM · cs.SI · math.IT · stat.AP · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXFV7VWR2EO6V6J5PJN4NHZPTX}

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	2026-05-18T00:20:19.194457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5cb5fd6d1d11deaf93d7a5bc69f2f9ddcc5da0be6c1bdc01937e3c63efef25d

Aliases

arxiv: 1803.08584 · arxiv_version: 1803.08584v1 · doi: 10.48550/arxiv.1803.08584 · pith_short_12: YXFV7VWR2EO6 · pith_short_16: YXFV7VWR2EO6V6J5 · pith_short_8: YXFV7VWR

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/YXFV7VWR2EO6V6J5PJN4NHZPTX \
  | 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: c5cb5fd6d1d11deaf93d7a5bc69f2f9ddcc5da0be6c1bdc01937e3c63efef25d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6d945d4cd0d4ce56b1cd340dac5d5e40900fe957cc010d721a933ed9efbb63",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI",
      "math.IT",
      "stat.AP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-03-22T21:13:35Z",
    "title_canon_sha256": "40cf6c9fc4ecd4daf950e77972271fd4a1dd53b78218609ffa37e573ceb158ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08584",
    "kind": "arxiv",
    "version": 1
  }
}