Pith Number

pith:MTCSXTJK

pith:2016:MTCSXTJKAKPR2RQQHEU5FHALIW

not attested not anchored not stored refs pending

Cograph generation with linear delay

\'Atila A. Jones, F\'abio Protti, Renata R. Del-Vecchio

arxiv:1612.05827 v1 · 2016-12-17 · cs.DM · 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{MTCSXTJKAKPR2RQQHEU5FHALIW}

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	2026-05-18T00:02:03.393885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c52bcd2a029f1d46103929d29c0b458125e78bfe92b6b1663b96a7fa12a6a6

Aliases

arxiv: 1612.05827 · arxiv_version: 1612.05827v1 · doi: 10.48550/arxiv.1612.05827 · pith_short_12: MTCSXTJKAKPR · pith_short_16: MTCSXTJKAKPR2RQQ · pith_short_8: MTCSXTJK

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/MTCSXTJKAKPR2RQQHEU5FHALIW \
  | 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: 64c52bcd2a029f1d46103929d29c0b458125e78bfe92b6b1663b96a7fa12a6a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02bb1c722de33c725961a56cc0c7d090f2e3336e6c16a13c29f8fdaa47e0c755",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-12-17T21:32:44Z",
    "title_canon_sha256": "ac87a6e98cae7f7262aae9bd457fba57d5c9df884a27dcc6b7c93dd7b24ff2d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05827",
    "kind": "arxiv",
    "version": 1
  }
}