Pith Number

pith:SMI7AOAS

pith:2010:SMI7AOASHJ4QPP43DH2X3PHUPJ

not attested not anchored not stored refs pending

On Graphs and Codes Preserved by Edge Local Complementation

Constanza Riera, Joakim Grahl Knudsen, Lars Eirik Danielsen, Matthew G. Parker

arxiv:1006.5802 v5 · 2010-06-30 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMI7AOASHJ4QPP43DH2X3PHUPJ}

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	2026-05-18T03:16:30.442825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9311f038123a7907bf9b19f57dbcf47a4b77a57b494b33ef33968159e2d5667a

Aliases

arxiv: 1006.5802 · arxiv_version: 1006.5802v5 · doi: 10.48550/arxiv.1006.5802 · pith_short_12: SMI7AOASHJ4Q · pith_short_16: SMI7AOASHJ4QPP43 · pith_short_8: SMI7AOAS

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/SMI7AOASHJ4QPP43DH2X3PHUPJ \
  | 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: 9311f038123a7907bf9b19f57dbcf47a4b77a57b494b33ef33968159e2d5667a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff0bd76109269f1a807592195fbedf03cecd8f6f34cd54110709eb2d92187f27",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-30T08:35:36Z",
    "title_canon_sha256": "9764d3f92c3f362186fcf167689985bad76158e15fd983da5038b55de17a4c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5802",
    "kind": "arxiv",
    "version": 5
  }
}