Pith Number

pith:4TZILC52

pith:2014:4TZILC52ZGIZMFKMMPD4CZHXMZ

not attested not anchored not stored refs pending

Covariant Non-Commutative Space-Time

Herman Verlinde, Jonathan Heckman

arxiv:1401.1810 v1 · 2014-01-08 · 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{4TZILC52ZGIZMFKMMPD4CZHXMZ}

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

Noncommutative Gauge Theories and Gravity

Receipt and verification

First computed	2026-05-18T01:45:27.394595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4f2858bbac99196154c63c7c164f76672a7e509a9789cb42e3f45498d2800e9

Aliases

arxiv: 1401.1810 · arxiv_version: 1401.1810v1 · doi: 10.48550/arxiv.1401.1810 · pith_short_12: 4TZILC52ZGIZ · pith_short_16: 4TZILC52ZGIZMFKM · pith_short_8: 4TZILC52

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/4TZILC52ZGIZMFKMMPD4CZHXMZ \
  | 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: e4f2858bbac99196154c63c7c164f76672a7e509a9789cb42e3f45498d2800e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "779ce24cb5f0a53d7f518451710fe357032e06456a9efe93bcc965c9437ee488",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-01-08T21:00:02Z",
    "title_canon_sha256": "253b862834daf8eda55e976430c6811041e24b372faed0f807205ca1ca5c4005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1810",
    "kind": "arxiv",
    "version": 1
  }
}