Pith Number

pith:YGOJ3ZYJ

pith:2006:YGOJ3ZYJHUY3PHUPZJGCDKRKGG

not attested not anchored not stored refs pending

Hypomorphy of graphs up to complementation

G\'erard Lopez (IML), Hamza Si Kaddour (ICJ), Jamel Dammak, Maurice Pouzet (ICJ)

arxiv:math/0601118 v1 · 2006-01-06 · 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{YGOJ3ZYJHUY3PHUPZJGCDKRKGG}

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	2026-05-18T01:08:50.662935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c19c9de7093d31b79e8fca4c21aa2a31967bedcb65d7c9bbe4e604d9c794d6bb

Aliases

arxiv: math/0601118 · arxiv_version: math/0601118v1 · doi: 10.48550/arxiv.math/0601118 · pith_short_12: YGOJ3ZYJHUY3 · pith_short_16: YGOJ3ZYJHUY3PHUP · pith_short_8: YGOJ3ZYJ

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/YGOJ3ZYJHUY3PHUPZJGCDKRKGG \
  | 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: c19c9de7093d31b79e8fca4c21aa2a31967bedcb65d7c9bbe4e604d9c794d6bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "974229d7dfb4ec2767d6007686063a02cbf43548e76f0aad575f54e2dcdd1899",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-01-06T15:01:44Z",
    "title_canon_sha256": "0e4aebee92b3920b46216194b6b64a90eee7443a489cf2f4ebc681413a52654f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601118",
    "kind": "arxiv",
    "version": 1
  }
}