Pith Number

pith:MUIWCZK6

pith:2016:MUIWCZK6JXKIB3PCBZGIRTJ6H2

not attested not anchored not stored refs pending

Spectra of general hypergraphs

Anirban Banerjee, Arnab Char, Bibhash Mondal

arxiv:1601.02136 v4 · 2016-01-09 · math.SP · math.CO · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUIWCZK6JXKIB3PCBZGIRTJ6H2}

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	2026-05-18T00:52:23.657365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651161655e4dd480ede20e4c88cd3e3eb6c1a703ee47d71788c722740183d8c5

Aliases

arxiv: 1601.02136 · arxiv_version: 1601.02136v4 · doi: 10.48550/arxiv.1601.02136 · pith_short_12: MUIWCZK6JXKI · pith_short_16: MUIWCZK6JXKIB3PC · pith_short_8: MUIWCZK6

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/MUIWCZK6JXKIB3PCBZGIRTJ6H2 \
  | 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: 651161655e4dd480ede20e4c88cd3e3eb6c1a703ee47d71788c722740183d8c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a97d7798813ba62535c35937da1ffc81bcb778db6f1b72bc8bdd7d877a66e5",
    "cross_cats_sorted": [
      "math.CO",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-01-09T17:27:52Z",
    "title_canon_sha256": "b8354af7b6046e124a585b5a5fb843301b747dade658efcdc6697b2a041b8daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02136",
    "kind": "arxiv",
    "version": 4
  }
}