Pith Number

pith:KNX5B2XN

pith:2010:KNX5B2XNBT5USOP6VEQZJFXRAF

not attested not anchored not stored refs pending

Large spin behavior of anomalous dimensions and short-long strings duality

George Georgiou, George Savvidy

arxiv:1012.5580 v3 · 2010-12-27 · 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{KNX5B2XNBT5USOP6VEQZJFXRAF}

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	2026-05-18T02:04:17.522976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

536fd0eaed0cfb4939fea9219496f1016a8befdde3527a272eda24a24d8819a6

Aliases

arxiv: 1012.5580 · arxiv_version: 1012.5580v3 · doi: 10.48550/arxiv.1012.5580 · pith_short_12: KNX5B2XNBT5U · pith_short_16: KNX5B2XNBT5USOP6 · pith_short_8: KNX5B2XN

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/KNX5B2XNBT5USOP6VEQZJFXRAF \
  | 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: 536fd0eaed0cfb4939fea9219496f1016a8befdde3527a272eda24a24d8819a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcfec8f37c46363d05c58c2486798d4316c8ee0a6e0a449309a5f9c90c96f679",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-27T09:36:35Z",
    "title_canon_sha256": "e90db16b16780aa1fe776d6f72e0431254e1631c7d2cf4fe8d2e483224da00b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5580",
    "kind": "arxiv",
    "version": 3
  }
}