Pith Number

pith:4FJBJLUO

pith:2010:4FJBJLUOBTRZOSO6OXD26SLZSQ

not attested not anchored not stored refs pending

Gauge Symmetry in Phase Space, Consequences for Physics and Spacetime

Itzhak Bars

arxiv:1004.0688 v2 · 2010-04-05 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FJBJLUOBTRZOSO6OXD26SLZSQ}

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.

Cited by

1 paper in Pith

QFT in Klein space

Receipt and verification

First computed	2026-05-18T04:35:05.005775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e15214ae8e0ce39749de75c7af4979940bfc05590102b740a1396ba1b4d0e841

Aliases

arxiv: 1004.0688 · arxiv_version: 1004.0688v2 · doi: 10.48550/arxiv.1004.0688 · pith_short_12: 4FJBJLUOBTRZ · pith_short_16: 4FJBJLUOBTRZOSO6 · pith_short_8: 4FJBJLUO

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/4FJBJLUOBTRZOSO6OXD26SLZSQ \
  | 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: e15214ae8e0ce39749de75c7af4979940bfc05590102b740a1396ba1b4d0e841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91efcf50b5c155f58a76aff0159d438ce3691f2fc5a1ef81ffa26321200046d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-04-05T19:49:03Z",
    "title_canon_sha256": "6750938977c24e5014ea24d371e5908a4e4b46a187539ea52dea63665e658da4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0688",
    "kind": "arxiv",
    "version": 2
  }
}