Pith Number

pith:4XCGMUSO

pith:2012:4XCGMUSOWWNMQMVVQMPQZPOYQR

not attested not anchored not stored refs pending

The renormalized locally covariant Dirac field

Jochen Zahn

arxiv:1210.4031 v3 · 2012-10-15 · 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{4XCGMUSOWWNMQMVVQMPQZPOYQR}

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	2026-05-18T03:02:17.828788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c466524eb59ac832b5831f0cbdd8846b6a805ef59ae7bd4ff5ec6dfc37bcbe

Aliases

arxiv: 1210.4031 · arxiv_version: 1210.4031v3 · doi: 10.48550/arxiv.1210.4031 · pith_short_12: 4XCGMUSOWWNM · pith_short_16: 4XCGMUSOWWNMQMVV · pith_short_8: 4XCGMUSO

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/4XCGMUSOWWNMQMVVQMPQZPOYQR \
  | 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: e5c466524eb59ac832b5831f0cbdd8846b6a805ef59ae7bd4ff5ec6dfc37bcbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f69a009e8370e67ebd94068c4d04aa4eff4c2013f3ea6d8e242e0fe0a5e664",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-15T13:42:55Z",
    "title_canon_sha256": "ac9717d1a186633c8b140b3d651e140fa126dfb102b25014292a6940b44bc16e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4031",
    "kind": "arxiv",
    "version": 3
  }
}