Pith Number

pith:KU3VWQ2X

pith:2017:KU3VWQ2XKTM4ZGQB43LUBZVNM6

not attested not anchored not stored refs pending

Threshold functions for small subgraphs: an analytic approach

Bernhard Gittenberger, Dani\`ele Gardy, \'Elie de Panafieu, Gwendal Collet, Vlady Ravelomanana

arxiv:1705.08768 v1 · 2017-05-24 · 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{KU3VWQ2XKTM4ZGQB43LUBZVNM6}

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	2026-05-18T00:43:44.313782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55375b435754d9cc9a01e6d740e6ad679cf566b856da1e896b2af8de7b45b8bf

Aliases

arxiv: 1705.08768 · arxiv_version: 1705.08768v1 · doi: 10.48550/arxiv.1705.08768 · pith_short_12: KU3VWQ2XKTM4 · pith_short_16: KU3VWQ2XKTM4ZGQB · pith_short_8: KU3VWQ2X

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/KU3VWQ2XKTM4ZGQB43LUBZVNM6 \
  | 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: 55375b435754d9cc9a01e6d740e6ad679cf566b856da1e896b2af8de7b45b8bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d90557c2a62274a8edadd3bca65524aacc06fa0c5561c9463d416f2d3bf4e5c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-24T13:56:32Z",
    "title_canon_sha256": "cee9c3895caee99b3a9e06efadcd3d044985281629cbaa3153381f87b0b60662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08768",
    "kind": "arxiv",
    "version": 1
  }
}