Pith Number

pith:N7PDJRQ7

pith:2013:N7PDJRQ7JYQUP4Y4BIACRKIEMV

not attested not anchored not stored refs pending

Evolution equations beyond one loop from conformal symmetry

A.N. Manashov, V.M. Braun

arxiv:1306.5644 v1 · 2013-06-24 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7PDJRQ7JYQUP4Y4BIACRKIEMV}

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	2026-05-18T02:39:55.758688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fde34c61f4e2147f31c0a0028a9046560fd2c4ce759d8a72e15b5f66bfec7a2

Aliases

arxiv: 1306.5644 · arxiv_version: 1306.5644v1 · doi: 10.48550/arxiv.1306.5644 · pith_short_12: N7PDJRQ7JYQU · pith_short_16: N7PDJRQ7JYQUP4Y4 · pith_short_8: N7PDJRQ7

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/N7PDJRQ7JYQUP4Y4BIACRKIEMV \
  | 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: 6fde34c61f4e2147f31c0a0028a9046560fd2c4ce759d8a72e15b5f66bfec7a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c0e8aed20bbd1e80a1a8414783283ae3c77c9d86ab8e77e2752c1cbe8f17cff",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-06-24T14:42:07Z",
    "title_canon_sha256": "cbdadd62025e51a76850adbbc6c6dca58a98256dfb8193190202789e928988a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5644",
    "kind": "arxiv",
    "version": 1
  }
}