Pith Number

pith:OBVZ54I2

pith:2017:OBVZ54I2TQL67H2336SMUJVP6K

not attested not anchored not stored refs pending

Fractional clique decompositions of dense graphs

Richard Montgomery

arxiv:1711.03382 v3 · 2017-11-09 · 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{OBVZ54I2TQL67H2336SMUJVP6K}

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	2026-05-18T00:04:39.859182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

706b9ef11a9c17ef9f5bdfa4ca26aff288051cb87226095b246e80436340da8e

Aliases

arxiv: 1711.03382 · arxiv_version: 1711.03382v3 · doi: 10.48550/arxiv.1711.03382 · pith_short_12: OBVZ54I2TQL6 · pith_short_16: OBVZ54I2TQL67H23 · pith_short_8: OBVZ54I2

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/OBVZ54I2TQL67H2336SMUJVP6K \
  | 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: 706b9ef11a9c17ef9f5bdfa4ca26aff288051cb87226095b246e80436340da8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3f44dd76dbf7b94f1c3847a20d1f3fbb3b6edd152581956f97fe75c080f66d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-09T14:11:41Z",
    "title_canon_sha256": "2a2919f2745375507ec22d86e16a819d4fc937be328b00c5b07515cc69f759b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03382",
    "kind": "arxiv",
    "version": 3
  }
}