Pith Number

pith:4SXZQENE

pith:2015:4SXZQENEM7RDDLKQ4O5IYIJDIM

not attested not anchored not stored refs pending

The trace norm of r-partite graphs and matrices

V. Nikiforov

arxiv:1502.04342 v2 · 2015-02-15 · 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{4SXZQENEM7RDDLKQ4O5IYIJDIM}

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	2026-05-18T02:20:02.741815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4af9811a467e231ad50e3ba8c2123431f57a43374957195136b8a6e55f05c27

Aliases

arxiv: 1502.04342 · arxiv_version: 1502.04342v2 · doi: 10.48550/arxiv.1502.04342 · pith_short_12: 4SXZQENEM7RD · pith_short_16: 4SXZQENEM7RDDLKQ · pith_short_8: 4SXZQENE

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/4SXZQENEM7RDDLKQ4O5IYIJDIM \
  | 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: e4af9811a467e231ad50e3ba8c2123431f57a43374957195136b8a6e55f05c27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f5bf96b369ba5227785b0e407276dabf6594a6f0b36c33002b523b5faeab17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-15T18:12:23Z",
    "title_canon_sha256": "4943624f9128a9c478f19d0b84ed1bcae776c1af9308f76d91cb6164defca8ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04342",
    "kind": "arxiv",
    "version": 2
  }
}