Pith Number

pith:NGQPCKTL

pith:2016:NGQPCKTLLXU75ALQJMNFAZ4VPV

not attested not anchored not stored refs pending

On the Physics of the Minimal Length: The Question of Gauge Invariance

Ahmed Roman, Chen Sun, Djordje Minic, Lay Nam Chang, Tatsu Takeuchi

arxiv:1602.07752 v1 · 2016-02-24 · 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{NGQPCKTLLXU75ALQJMNFAZ4VPV}

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	2026-05-18T01:16:59.521768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69a0f12a6b5de9fe81704b1a5067957d46b8f4c69b472bb8c19bf4b5b29ed2e4

Aliases

arxiv: 1602.07752 · arxiv_version: 1602.07752v1 · doi: 10.48550/arxiv.1602.07752 · pith_short_12: NGQPCKTLLXU7 · pith_short_16: NGQPCKTLLXU75ALQ · pith_short_8: NGQPCKTL

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/NGQPCKTLLXU75ALQJMNFAZ4VPV \
  | 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: 69a0f12a6b5de9fe81704b1a5067957d46b8f4c69b472bb8c19bf4b5b29ed2e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41d687864fe87c2b1a98708a600ed9cde02f975e0f0677011d399b9587f72684",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-02-24T23:41:01Z",
    "title_canon_sha256": "ab64450aaad915fb3cdb2a34040a229fdca1617825ab3d933bcd09619d447e73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07752",
    "kind": "arxiv",
    "version": 1
  }
}