Pith Number

pith:PDMKHTA2

pith:2019:PDMKHTA2HLVADNLYOTXANBPPXR

not attested not anchored not stored refs pending

Ollivier Ricci Curvature of Directed Hypergraphs

J\"urgen Jost, Marzieh Eidi

arxiv:1907.04727 v1 · 2019-07-10 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDMKHTA2HLVADNLYOTXANBPPXR}

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	2026-05-17T23:40:56.985165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78d8a3cc1a3aea01b57874ee0685efbc68202336072d621bc45e33b2b84d2a6a

Aliases

arxiv: 1907.04727 · arxiv_version: 1907.04727v1 · doi: 10.48550/arxiv.1907.04727 · pith_short_12: PDMKHTA2HLVA · pith_short_16: PDMKHTA2HLVADNLY · pith_short_8: PDMKHTA2

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/PDMKHTA2HLVADNLYOTXANBPPXR \
  | 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: 78d8a3cc1a3aea01b57874ee0685efbc68202336072d621bc45e33b2b84d2a6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc4f53bc347617b8d5cd3543cf6931855e70a674ac7ef80a93259515bd599827",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-07-10T13:54:38Z",
    "title_canon_sha256": "f3ee8d9d96d38b4756171cd7360d2181a297795f19803097ac06498857381020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04727",
    "kind": "arxiv",
    "version": 1
  }
}