Pith Number

pith:6C6XIC5Q

pith:2020:6C6XIC5QHZCTFLDGD2P5ZIJDPI

not attested not anchored not stored refs pending

Edge-based analysis of networks: Curvatures of graphs and hypergraphs

Amirhossein Farzam, Areejit Samal, J\"urgen Jost, Marzieh Eidi, Wilmer Leal

arxiv:2010.16366 v1 · 2020-10-30 · cs.DM · math.MG · q-bio.MN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6C6XIC5QHZCTFLDGD2P5ZIJDPI}

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	2026-07-05T01:57:21.206405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0bd740bb03e4532ac661e9fdca1237a1c7f292a05a586c4252a27dd58846237

Aliases

arxiv: 2010.16366 · arxiv_version: 2010.16366v1 · doi: 10.48550/arxiv.2010.16366 · pith_short_12: 6C6XIC5QHZCT · pith_short_16: 6C6XIC5QHZCTFLDG · pith_short_8: 6C6XIC5Q

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/6C6XIC5QHZCTFLDGD2P5ZIJDPI \
  | 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: f0bd740bb03e4532ac661e9fdca1237a1c7f292a05a586c4252a27dd58846237

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e840d439d122993b19aa978e6e7e9abc20d10efef3ee6377a56790b6b389cb6f",
    "cross_cats_sorted": [
      "math.MG",
      "q-bio.MN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2020-10-30T16:49:53Z",
    "title_canon_sha256": "f33de1c6da30e3d4f7d669e94b46842ba3b154d0cf81ced75603603e3c6a9053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.16366",
    "kind": "arxiv",
    "version": 1
  }
}