Pith Number

pith:BT2W3HNH

pith:2013:BT2W3HNHPTKNHKQAMOVDEUEGOI

not attested not anchored not stored refs pending

On invertible nonnegative Hamiltonian operator matrices

Alatancang Chen, Deyu Wu, Guohai Jin, Guolin Hou

arxiv:1306.1045 v4 · 2013-06-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BT2W3HNHPTKNHKQAMOVDEUEGOI}

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	2026-05-18T03:13:21.345663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cf56d9da77cd4d3aa0063aa325086722c7a1a7e047e1aaa2a76afb17d903fbb

Aliases

arxiv: 1306.1045 · arxiv_version: 1306.1045v4 · doi: 10.48550/arxiv.1306.1045 · pith_short_12: BT2W3HNHPTKN · pith_short_16: BT2W3HNHPTKNHKQA · pith_short_8: BT2W3HNH

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/BT2W3HNHPTKNHKQAMOVDEUEGOI \
  | 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: 0cf56d9da77cd4d3aa0063aa325086722c7a1a7e047e1aaa2a76afb17d903fbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac449139b954b4003fe656d76b2bedf731c3bd1100c4efc06dd5ce4164cd464f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-05T10:17:04Z",
    "title_canon_sha256": "81d4b62155d586bf78e4f7cf46d0dc42cf85e93904a18c78a1401d262d86d10a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1045",
    "kind": "arxiv",
    "version": 4
  }
}