Pith Number

pith:TXV7JRBP

pith:2014:TXV7JRBP6VTD5YXAFMZGNM2GOQ

not attested not anchored not stored refs pending

E-cospectral hypergraphs and some hypergraphs determined by their spectra

Changjiang Bu, Jiang Zhou, Yimin Wei

arxiv:1406.1085 v1 · 2014-06-04 · 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{TXV7JRBP6VTD5YXAFMZGNM2GOQ}

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	2026-05-18T02:50:30.375148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9debf4c42ff5663ee2e02b3266b346740ce0548f8f25a9ab5dc1dde85c988050

Aliases

arxiv: 1406.1085 · arxiv_version: 1406.1085v1 · doi: 10.48550/arxiv.1406.1085 · pith_short_12: TXV7JRBP6VTD · pith_short_16: TXV7JRBP6VTD5YXA · pith_short_8: TXV7JRBP

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/TXV7JRBP6VTD5YXAFMZGNM2GOQ \
  | 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: 9debf4c42ff5663ee2e02b3266b346740ce0548f8f25a9ab5dc1dde85c988050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57b4b6102a2bbf569a7260ecf7375731e01a4050a5f1290cfef887bc7d76bccc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-04T16:03:15Z",
    "title_canon_sha256": "626823bb2167737af75555c759866af453705e99bc46ad0156cde43705bf42ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1085",
    "kind": "arxiv",
    "version": 1
  }
}