Pith Number

pith:7Y6EGQR3

pith:2021:7Y6EGQR3BRD26BYURZLLW4FPGH

not attested not anchored not stored refs pending

Gravity and the Crossed Product

Edward Witten

arxiv:2112.12828 v5 · 2021-12-23 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Y6EGQR3BRD26BYURZLLW4FPGH}

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

27 papers in Pith

Quantization of Gravity on Null Hypersurfaces

No off-diagonal quantum focusing for R\'enyi divergences

The mini-Page Curve in Cosmology

Wigner negativity in Krylov space and emergent semiclassicality

Spacetime from Operator Algebras

Receipt and verification

First computed	2026-07-05T05:07:37.577276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe3c43423b0c47af07148e56bb70af31d1ca0451b3822874d0945d5b543ed792

Aliases

arxiv: 2112.12828 · arxiv_version: 2112.12828v5 · doi: 10.48550/arxiv.2112.12828 · pith_short_12: 7Y6EGQR3BRD2 · pith_short_16: 7Y6EGQR3BRD26BYU · pith_short_8: 7Y6EGQR3

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/7Y6EGQR3BRD26BYURZLLW4FPGH \
  | 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: fe3c43423b0c47af07148e56bb70af31d1ca0451b3822874d0945d5b543ed792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83bef5490b35e53a05dcbf4d2e01f7c658fc67f19f801ff8e805e2f8f93e5157",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-23T20:27:03Z",
    "title_canon_sha256": "dc0e7c2112e94536d9f49031f1092909fa198c380ea2c0f732c0ef283598f03c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12828",
    "kind": "arxiv",
    "version": 5
  }
}