Pith Number

pith:QYPYK463

pith:2011:QYPYK463O5PWW5CGROFJVWZKTJ

not attested not anchored not stored refs pending

3D Tensor Field Theory: Renormalization and One-loop $\beta$-functions

Dine Ousmane Samary, Joseph Ben Geloun

arxiv:1201.0176 v2 · 2011-12-30 · hep-th · gr-qc · math-ph · 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{QYPYK463O5PWW5CGROFJVWZKTJ}

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	2026-05-18T02:21:26.852423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

861f8573db775f6b74468b8a9adb2a9a63ac5fae80a63be0ef6a71496edb61ee

Aliases

arxiv: 1201.0176 · arxiv_version: 1201.0176v2 · doi: 10.48550/arxiv.1201.0176 · pith_short_12: QYPYK463O5PW · pith_short_16: QYPYK463O5PWW5CG · pith_short_8: QYPYK463

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/QYPYK463O5PWW5CGROFJVWZKTJ \
  | 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: 861f8573db775f6b74468b8a9adb2a9a63ac5fae80a63be0ef6a71496edb61ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18ef97fe2be8193bd090a9263fda8d63d5866e2e97ad8ec7e2da58acf0962f58",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-12-30T20:09:46Z",
    "title_canon_sha256": "a6575457f8686a2badc7a44245c001ec440d243d94237e0d00344ceba24f8eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0176",
    "kind": "arxiv",
    "version": 2
  }
}