Pith Number

pith:NKMEJ7R2

pith:2013:NKMEJ7R2FAAFRUYUEZW3DAVTS5

not attested not anchored not stored refs pending

Some new trace formulas of tensors with applications in spectral hypergraph theory

Jia-Yu Shao, Liqun Qi, Shenglong Hu

arxiv:1307.5690 v1 · 2013-07-22 · 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{NKMEJ7R2FAAFRUYUEZW3DAVTS5}

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	2026-05-18T03:17:54.907053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a9844fe3a280058d314266db182b3974648d95c6707f514536ec36ddc8da870

Aliases

arxiv: 1307.5690 · arxiv_version: 1307.5690v1 · doi: 10.48550/arxiv.1307.5690 · pith_short_12: NKMEJ7R2FAAF · pith_short_16: NKMEJ7R2FAAFRUYU · pith_short_8: NKMEJ7R2

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/NKMEJ7R2FAAFRUYUEZW3DAVTS5 \
  | 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: 6a9844fe3a280058d314266db182b3974648d95c6707f514536ec36ddc8da870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e34e1e62a01662a659f7c397938a92ac7b03cd0f1f8183def3221d58b70f481",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-07-22T13:01:23Z",
    "title_canon_sha256": "d8b9fa8af1d169440c0a17cc4ac8b919ae336c27e6af7b05758a05d2ed5a3e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5690",
    "kind": "arxiv",
    "version": 1
  }
}