Pith Number

pith:U6LICCXU

pith:2008:U6LICCXUBKCDE2P72OBIT4G33J

not attested not anchored not stored refs pending

Partial profiles of quasi-complete graphs

Pedro Lopes

arxiv:0802.2342 v2 · 2008-02-16 · 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{U6LICCXUBKCDE2P72OBIT4G33J}

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	2026-05-18T01:22:09.077711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a796810af40a843269ffd38289f0dbda44c9387ce123fc5fd92d19ebed57bc3c

Aliases

arxiv: 0802.2342 · arxiv_version: 0802.2342v2 · doi: 10.48550/arxiv.0802.2342 · pith_short_12: U6LICCXUBKCD · pith_short_16: U6LICCXUBKCDE2P7 · pith_short_8: U6LICCXU

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/U6LICCXUBKCDE2P72OBIT4G33J \
  | 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: a796810af40a843269ffd38289f0dbda44c9387ce123fc5fd92d19ebed57bc3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa5f9585af59ab66d8276828ccc7970423975517da4d55bf099b01bff79e8def",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-02-16T18:11:14Z",
    "title_canon_sha256": "0b4cc3564d95f583f43481bee425b4eb500a728a01e5f10f84daff9b35842ea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2342",
    "kind": "arxiv",
    "version": 2
  }
}