Pith Number

pith:EVUMGDJF

pith:2021:EVUMGDJFYTY775GNCR2FRWEHB3

not attested not anchored not stored refs pending

Preferential attachment hypergraph with high modularity

Fr\'ed\'eric Giroire, Ma{\l}gorzata Sulkowska, Nicolas Nisse, Thibaud Trolliet

arxiv:2103.01751 v1 · 2021-03-01 · cs.SI · math.CO · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVUMGDJFYTY775GNCR2FRWEHB3}

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	2026-07-05T02:19:50.230618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2568c30d25c4f1fff4cd147458d8870eee70598a19247236da0e42204b40ab06

Aliases

arxiv: 2103.01751 · arxiv_version: 2103.01751v1 · doi: 10.48550/arxiv.2103.01751 · pith_short_12: EVUMGDJFYTY7 · pith_short_16: EVUMGDJFYTY775GN · pith_short_8: EVUMGDJF

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/EVUMGDJFYTY775GNCR2FRWEHB3 \
  | 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: 2568c30d25c4f1fff4cd147458d8870eee70598a19247236da0e42204b40ab06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade0713f871d22a0babd8ec037c77925872460376a122d25c58ff74a723bd85c",
    "cross_cats_sorted": [
      "math.CO",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2021-03-01T13:01:39Z",
    "title_canon_sha256": "ec7a6f081b97feead92706264a1401783dc13678f9cc08d8c7119b92e8556e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.01751",
    "kind": "arxiv",
    "version": 1
  }
}