Pith Number

pith:F7VN4S35

pith:2013:F7VN4S35N6OIMZJ6ZMUXG77QI3

not attested not anchored not stored refs pending

Circulant Tensors with Applications to Spectral Hypergraph Theory and Stochastic Process

Liqun Qi, Zhongming Chen

arxiv:1312.2752 v8 · 2013-12-10 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7VN4S35N6OIMZJ6ZMUXG77QI3}

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	2026-05-18T02:32:46.315257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2feade4b7d6f9c86653ecb29737ff046ce4f457a4dd13422dfa9ad584b32fee0

Aliases

arxiv: 1312.2752 · arxiv_version: 1312.2752v8 · doi: 10.48550/arxiv.1312.2752 · pith_short_12: F7VN4S35N6OI · pith_short_16: F7VN4S35N6OIMZJ6 · pith_short_8: F7VN4S35

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/F7VN4S35N6OIMZJ6ZMUXG77QI3 \
  | 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: 2feade4b7d6f9c86653ecb29737ff046ce4f457a4dd13422dfa9ad584b32fee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25c129ec043ed49006008a9db4f454167ab0f8ca5b2dbe70bbe8c453967c55d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-12-10T10:53:40Z",
    "title_canon_sha256": "78cbbea69f608e0af470be063a66c54bfa9b305124cc4f851c5ecc07b728374e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2752",
    "kind": "arxiv",
    "version": 8
  }
}