Pith Number

pith:PYXPFCBL

pith:2012:PYXPFCBLTG55UUZ3NHZBEK3GTC

not attested not anchored not stored refs pending

Small-span Hermitian matrices over quadratic integer rings

Gary Greaves

arxiv:1202.1756 v2 · 2012-02-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYXPFCBLTG55UUZ3NHZBEK3GTC}

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	2026-05-18T02:29:55.425586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e2ef2882b99bbda533b69f2122b6698a35e1cbf68be8a2d661dbe7a8ae1d83d

Aliases

arxiv: 1202.1756 · arxiv_version: 1202.1756v2 · doi: 10.48550/arxiv.1202.1756 · pith_short_12: PYXPFCBLTG55 · pith_short_16: PYXPFCBLTG55UUZ3 · pith_short_8: PYXPFCBL

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/PYXPFCBLTG55UUZ3NHZBEK3GTC \
  | 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: 7e2ef2882b99bbda533b69f2122b6698a35e1cbf68be8a2d661dbe7a8ae1d83d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df10ab4ba7df625d1ba22f8e3aa7fb0eb3101999ece44c1f9ec80a05c1232aa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-08T16:24:33Z",
    "title_canon_sha256": "2a9989744724896ade188f9a922ffb993e5ad369dd9c6aa30f345378f5dbb1a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1756",
    "kind": "arxiv",
    "version": 2
  }
}