Pith Number

pith:TRGJUF7N

pith:2009:TRGJUF7NQCZITHYTNGG34YSWSR

not attested not anchored not stored refs pending

The extended algebra of observables for Dirac fields and the trace anomaly of their stress-energy tensor

Claudio Dappiaggi, Nicola Pinamonti, Thomas-Paul Hack

arxiv:0904.0612 v1 · 2009-04-03 · math-ph · gr-qc · hep-th · 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{TRGJUF7NQCZITHYTNGG34YSWSR}

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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.

Cited by

1 paper in Pith

The Fermionic Signature Operator in the Reissner-Nordstr\"om Geometry in Horizon-Penetrating Coordinates

Receipt and verification

First computed	2026-07-04T17:17:29.719095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c4c9a17ed80b2899f13698dbe6256947ea3734f40fb785a7fd5b014fe8217d0

Aliases

arxiv: 0904.0612 · arxiv_version: 0904.0612v1 · doi: 10.48550/arxiv.0904.0612 · pith_short_12: TRGJUF7NQCZI · pith_short_16: TRGJUF7NQCZITHYT · pith_short_8: TRGJUF7N

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/TRGJUF7NQCZITHYTNGG34YSWSR \
  | 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: 9c4c9a17ed80b2899f13698dbe6256947ea3734f40fb785a7fd5b014fe8217d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "400535f38176a53f630ca95cb9772cc40cf5ec11febded5c0aa7d192851b4a61",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-04-03T16:08:54Z",
    "title_canon_sha256": "2361314a017c750252ac52a73b01276e7131c8657b44bf1cc58e163eb89bc25b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0612",
    "kind": "arxiv",
    "version": 1
  }
}