Pith Number

pith:G6Y23UG3

pith:2018:G6Y23UG3A2C4GPVETMY43GVYIO

not attested not anchored not stored refs pending

Threshold functions for small subgraphs in simple graphs and multigraphs

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

arxiv:1807.05772 v1 · 2018-07-16 · 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{G6Y23UG3A2C4GPVETMY43GVYIO}

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	2026-05-18T00:10:42.584835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b1add0db0685c33ea49b31cd9ab8438ebd6663fb329b39e87bba6438aec3a2

Aliases

arxiv: 1807.05772 · arxiv_version: 1807.05772v1 · doi: 10.48550/arxiv.1807.05772 · pith_short_12: G6Y23UG3A2C4 · pith_short_16: G6Y23UG3A2C4GPVE · pith_short_8: G6Y23UG3

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/G6Y23UG3A2C4GPVETMY43GVYIO \
  | 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: 37b1add0db0685c33ea49b31cd9ab8438ebd6663fb329b39e87bba6438aec3a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "748fef792a8634d68022773939f9bd449cd6874af5bd0ec5e04ca2b1b08c5d32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-16T10:24:28Z",
    "title_canon_sha256": "8a4fec551e854be3557d3416aff7cd88d90a98645421827f7eef57f22a2a0f2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05772",
    "kind": "arxiv",
    "version": 1
  }
}