Pith Number

pith:PKUKEMTN

pith:2016:PKUKEMTNH23FT67MHALVKHENFG

not attested not anchored not stored refs pending

Double Circulant Matrices

Hualu Liu, Yun Fan

arxiv:1601.06872 v1 · 2016-01-26 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKUKEMTNH23FT67MHALVKHENFG}

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	2026-05-18T01:21:59.618600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aa8a2326d3eb659fbec3817551c8d29bfdbd03c34bcb7e52f69da6a34c276d6

Aliases

arxiv: 1601.06872 · arxiv_version: 1601.06872v1 · doi: 10.48550/arxiv.1601.06872 · pith_short_12: PKUKEMTNH23F · pith_short_16: PKUKEMTNH23FT67M · pith_short_8: PKUKEMTN

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/PKUKEMTNH23FT67MHALVKHENFG \
  | 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: 7aa8a2326d3eb659fbec3817551c8d29bfdbd03c34bcb7e52f69da6a34c276d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "541aa9a69d49963fb45e1c6265d4a0cfc0947747f3fa9ec31716a06161462c96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-01-26T03:00:35Z",
    "title_canon_sha256": "53e597665e49b335a9681c23917c692d553318db66af6bdcd75d58a52b1ac87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06872",
    "kind": "arxiv",
    "version": 1
  }
}