Pith Number

pith:GADKKUJF

pith:2014:GADKKUJFOPG6QKE4LCG7PONOPB

not attested not anchored not stored refs pending

How unproportional must a graph be?

Alex Scott, Humberto Naves, Oleg Pikhurko

arxiv:1404.1206 v3 · 2014-04-04 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GADKKUJFOPG6QKE4LCG7PONOPB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:13:48.707018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3006a5512573cde8289c588df7b9ae786280344822efa26d10f85a2d24b5c73a

Aliases

arxiv: 1404.1206 · arxiv_version: 1404.1206v3 · doi: 10.48550/arxiv.1404.1206 · pith_short_12: GADKKUJFOPG6 · pith_short_16: GADKKUJFOPG6QKE4 · pith_short_8: GADKKUJF

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/GADKKUJFOPG6QKE4LCG7PONOPB \
  | 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: 3006a5512573cde8289c588df7b9ae786280344822efa26d10f85a2d24b5c73a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e791f97a65d03d5d7051d5baecf9ac9709eb7d45e40bc7cf71d10deed618b13b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-04T10:07:51Z",
    "title_canon_sha256": "3dd66671d86e7135473cf4fb9b671f433330405ab2a7205b81f74e1b0802be69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1206",
    "kind": "arxiv",
    "version": 3
  }
}