Pith Number

pith:76M6DME4

pith:2015:76M6DME4WPKB4D7OUHDMV2IQTI

not attested not anchored not stored refs pending

Why are tensor field theories asymptotically free?

Vincent Rivasseau

arxiv:1507.04190 v1 · 2015-07-15 · hep-th · 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{76M6DME4WPKB4D7OUHDMV2IQTI}

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	2026-05-18T01:28:53.680180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff99e1b09cb3d41e0feea1c6cae9109a32ecd73a50ae6fa8282a884c246b5653

Aliases

arxiv: 1507.04190 · arxiv_version: 1507.04190v1 · doi: 10.48550/arxiv.1507.04190 · pith_short_12: 76M6DME4WPKB · pith_short_16: 76M6DME4WPKB4D7O · pith_short_8: 76M6DME4

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/76M6DME4WPKB4D7OUHDMV2IQTI \
  | 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: ff99e1b09cb3d41e0feea1c6cae9109a32ecd73a50ae6fa8282a884c246b5653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3ba7010e5884185f0de5109a9973bee29e70878f758acef275403993a4cbd9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-07-15T12:38:31Z",
    "title_canon_sha256": "314fcc475437c0330cda123f67d687a928f13387b337de6c29ddcf179b3db16e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04190",
    "kind": "arxiv",
    "version": 1
  }
}