Pith Number

pith:QRFN2E76

pith:2019:QRFN2E76JQCTOUFNKKD65ZAISE

not attested not anchored not stored refs pending

A construction for clique-free pseudorandom graphs

Anurag Bishnoi, Ferdinand Ihringer, Valentina Pepe

arxiv:1905.04677 v3 · 2019-05-12 · 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{QRFN2E76JQCTOUFNKKD65ZAISE}

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	2026-07-05T00:32:30.029876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

844add13fe4c053750ad5287eee4089104dc2bc1bf938e996b8a2063bcfab5e8

Aliases

arxiv: 1905.04677 · arxiv_version: 1905.04677v3 · doi: 10.48550/arxiv.1905.04677 · pith_short_12: QRFN2E76JQCT · pith_short_16: QRFN2E76JQCTOUFN · pith_short_8: QRFN2E76

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/QRFN2E76JQCTOUFNKKD65ZAISE \
  | 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: 844add13fe4c053750ad5287eee4089104dc2bc1bf938e996b8a2063bcfab5e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e626dd59bec3a5d1c29e23a1f43fed517cfcb7e71af81fbc1cb02fe8a323759d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-12T09:23:53Z",
    "title_canon_sha256": "cbabbcda58d46b34ba4cd38e98482ea96d4ce6e0d06ae1492990f71bf4e541a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04677",
    "kind": "arxiv",
    "version": 3
  }
}