Pith Number

pith:4VWOIKPL

pith:2015:4VWOIKPLLHXZOQXLOKNWGXO2PK

not attested not anchored not stored refs pending

Renormalization and Hopf Algebraic Structure of the 5-Dimensional Quartic Tensor Field Theory

Adrian Tanasa, Remi Cocou Avohou, Vincent Rivasseau

arxiv:1507.03548 v1 · 2015-07-13 · math-ph · hep-th · math.CO · 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{4VWOIKPLLHXZOQXLOKNWGXO2PK}

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	2026-05-18T00:12:46.251344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e56ce429eb59ef9742eb729b635dda7aa303edea1cc2c7b6ee2f82a848780a28

Aliases

arxiv: 1507.03548 · arxiv_version: 1507.03548v1 · doi: 10.48550/arxiv.1507.03548 · pith_short_12: 4VWOIKPLLHXZ · pith_short_16: 4VWOIKPLLHXZOQXL · pith_short_8: 4VWOIKPL

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/4VWOIKPLLHXZOQXLOKNWGXO2PK \
  | 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: e56ce429eb59ef9742eb729b635dda7aa303edea1cc2c7b6ee2f82a848780a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0e46a44331df629d6556729de896edf061abb426385ecd707711aa8170147e2",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-13T18:50:09Z",
    "title_canon_sha256": "7494f6677ee0ca0afe5ba1c87b7e8cf2cee7b3881ffe4c9fd4802f14c6eeea06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03548",
    "kind": "arxiv",
    "version": 1
  }
}