Pith Number

pith:PP74L25T

pith:2013:PP74L25TTFPNMSH5OJI3ABJUCN

not attested not anchored not stored refs pending

Non-self-adjoint graphs

Amru Hussein, David Krejcirik, Petr Siegl

arxiv:1308.4264 v1 · 2013-08-20 · math.SP · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PP74L25TTFPNMSH5OJI3ABJUCN}

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	2026-07-05T02:26:43.558682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bffc5ebb3995ed648fd7251b00534137b58e5525319813e92e2d772da23cf65

Aliases

arxiv: 1308.4264 · arxiv_version: 1308.4264v1 · doi: 10.48550/arxiv.1308.4264 · pith_short_12: PP74L25TTFPN · pith_short_16: PP74L25TTFPNMSH5 · pith_short_8: PP74L25T

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/PP74L25TTFPNMSH5OJI3ABJUCN \
  | 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: 7bffc5ebb3995ed648fd7251b00534137b58e5525319813e92e2d772da23cf65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a8736d4cd6434d56473a5c4077dc0aa96b2e827f46fd6c11df04c8046c1ba3d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-08-20T09:10:18Z",
    "title_canon_sha256": "31ff15f06bbe27920bfd6a9f409223630c4b5322335902697404613bcf4b376f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4264",
    "kind": "arxiv",
    "version": 1
  }
}