Pith Number

pith:4ZJ2AVAN

pith:2011:4ZJ2AVAN3JLXIN5FQEWKG34XYN

not attested not anchored not stored refs pending

The Nontriviality of Trivial General Covariance: How Electrons Restrict 'Time' Coordinates, Spinors (Almost) Fit into Tensor Calculus, and 7/16 of a Tetrad Is Surplus Structure

J. Brian Pitts

arxiv:1111.4586 v1 · 2011-11-19 · gr-qc · hep-th · math-ph · math.MP · physics.hist-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{4ZJ2AVAN3JLXIN5FQEWKG34XYN}

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	2026-05-18T01:18:55.854819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e653a0540dda577437a5812ca36f97c3789e07c6cf60d69c2b05048064752c20

Aliases

arxiv: 1111.4586 · arxiv_version: 1111.4586v1 · doi: 10.48550/arxiv.1111.4586 · pith_short_12: 4ZJ2AVAN3JLX · pith_short_16: 4ZJ2AVAN3JLXIN5F · pith_short_8: 4ZJ2AVAN

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/4ZJ2AVAN3JLXIN5FQEWKG34XYN \
  | 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: e653a0540dda577437a5812ca36f97c3789e07c6cf60d69c2b05048064752c20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31837e2fa52e1ae598ff4b6186982ebd4a35fd7c5e5757a486c7982fcfc214a5",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "physics.hist-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-19T21:39:44Z",
    "title_canon_sha256": "10722e22f4b87ce31a99f0511a344b5490df4ad391c5cbe91425448db12cef04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4586",
    "kind": "arxiv",
    "version": 1
  }
}