Pith Number

pith:CUVC5VHM

pith:2012:CUVC5VHM6EANBLDCDJ6FNY56N4

not attested not anchored not stored refs pending

Ranks of gauge groups and an NP-complete problem on the Landscape

Abhijnan Rej

arxiv:1212.3912 v1 · 2012-12-17 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUVC5VHM6EANBLDCDJ6FNY56N4}

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	2026-05-18T03:38:22.081234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

152a2ed4ecf100d0ac621a7c56e3be6f05f46598122c5d94a3fc9347410da707

Aliases

arxiv: 1212.3912 · arxiv_version: 1212.3912v1 · doi: 10.48550/arxiv.1212.3912 · pith_short_12: CUVC5VHM6EAN · pith_short_16: CUVC5VHM6EANBLDC · pith_short_8: CUVC5VHM

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/CUVC5VHM6EANBLDCDJ6FNY56N4 \
  | 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: 152a2ed4ecf100d0ac621a7c56e3be6f05f46598122c5d94a3fc9347410da707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22da826dd2d775c99fc6c347f5da00b0d8c2cfe13e05e066e89f0e742cd5f5ae",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-17T07:44:59Z",
    "title_canon_sha256": "c7b19e634c4b4d938e0bad4c528fcd60e6a46854b291bb9845186340d3aabbf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3912",
    "kind": "arxiv",
    "version": 1
  }
}