Pith Number

pith:2GX2JMR7

pith:2011:2GX2JMR7IBYV5WEPWJCPEKG5BO

not attested not anchored not stored refs pending

The spectral action for sub-Dirac operators

Yong Wang

arxiv:1110.1895 v1 · 2011-10-10 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GX2JMR7IBYV5WEPWJCPEKG5BO}

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	2026-05-18T04:11:19.393403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1afa4b23f40715ed88fb244f228dd0b9b4011c58d2f7aa292ecbc592e3ad64a

Aliases

arxiv: 1110.1895 · arxiv_version: 1110.1895v1 · doi: 10.48550/arxiv.1110.1895 · pith_short_12: 2GX2JMR7IBYV · pith_short_16: 2GX2JMR7IBYV5WEP · pith_short_8: 2GX2JMR7

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/2GX2JMR7IBYV5WEPWJCPEKG5BO \
  | 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: d1afa4b23f40715ed88fb244f228dd0b9b4011c58d2f7aa292ecbc592e3ad64a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c22de840889de9fbf12989218989fd5f63f8eb2d6e87fb5647c8cd72a41d0a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-10T00:25:06Z",
    "title_canon_sha256": "7726c429feef6428dab35aa2fdb3dbed65237d4637d150e599da8d69d62b0d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1895",
    "kind": "arxiv",
    "version": 1
  }
}