Pith Number

pith:AYROEHHX

pith:2011:AYROEHHX4LTMTAUHK2XMG6NP7O

not attested not anchored not stored refs pending

The Laplacian lattice of a graph under a simplicial distance function

Madhusudan Manjunath

arxiv:1111.7246 v1 · 2011-11-30 · 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{AYROEHHX4LTMTAUHK2XMG6NP7O}

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	2026-05-18T04:07:18.331408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0622e21cf7e2e6c9828756aec379affb9b451c5872bc5dcaa8283c5df203bfb5

Aliases

arxiv: 1111.7246 · arxiv_version: 1111.7246v1 · doi: 10.48550/arxiv.1111.7246 · pith_short_12: AYROEHHX4LTM · pith_short_16: AYROEHHX4LTMTAUH · pith_short_8: AYROEHHX

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/AYROEHHX4LTMTAUHK2XMG6NP7O \
  | 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: 0622e21cf7e2e6c9828756aec379affb9b451c5872bc5dcaa8283c5df203bfb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa1ce733c6b8f1d708c98b003f3748b8b80aabc67dd180a67bc4ea6cc79622c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-30T17:38:17Z",
    "title_canon_sha256": "6f5f3b347b0dd5986b377bef33b8a56bdc04ae19d66f9348910ce2c1487228ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7246",
    "kind": "arxiv",
    "version": 1
  }
}