Pith Number

pith:LHDMIALM

pith:2021:LHDMIALMR4QYFQ4R6D47NB7CYI

not attested not anchored not stored refs pending

Subgraph complementation and minimum rank

Calum Buchanan, Christopher Purcell, Puck Rombach

arxiv:2101.06180 v4 · 2021-01-15 · 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{LHDMIALMR4QYFQ4R6D47NB7CYI}

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	2026-07-05T05:23:06.157517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c6c4016c8f2182c391f0f9f687e2c2077f491080017bc563a6bb5894422dd5

Aliases

arxiv: 2101.06180 · arxiv_version: 2101.06180v4 · doi: 10.48550/arxiv.2101.06180 · pith_short_12: LHDMIALMR4QY · pith_short_16: LHDMIALMR4QYFQ4R · pith_short_8: LHDMIALM

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/LHDMIALMR4QYFQ4R6D47NB7CYI \
  | 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: 59c6c4016c8f2182c391f0f9f687e2c2077f491080017bc563a6bb5894422dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1bb1e5f313db19ae84d89309eb1e525c37f2fd671ae01b8a1cd7a58ccecb0e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-01-15T15:41:49Z",
    "title_canon_sha256": "8489a1104f507a2d8de587bcbe5dd6e2c6cc1ac0da828dc9b149a57b7a85b1ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.06180",
    "kind": "arxiv",
    "version": 4
  }
}