Pith Number

pith:VOQ3L4JG

pith:2014:VOQ3L4JG5OKE33KARNO3K2OZCB

not attested not anchored not stored refs pending

A challenge to the $a$-theorem in six dimensions

Andreas Stergiou, Benjamin Grinstein, David Stone, Ming Zhong

arxiv:1406.3626 v2 · 2014-06-13 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOQ3L4JG5OKE33KARNO3K2OZCB}

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.

Cited by

2 papers in Pith

Matching $A$ with $F$ in long-range QFTs

Receipt and verification

First computed	2026-05-18T02:18:04.259194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aba1b5f126eb944ded408b5db569d91077ecdf075d3a0cc20cbbff31de908106

Aliases

arxiv: 1406.3626 · arxiv_version: 1406.3626v2 · doi: 10.48550/arxiv.1406.3626 · pith_short_12: VOQ3L4JG5OKE · pith_short_16: VOQ3L4JG5OKE33KA · pith_short_8: VOQ3L4JG

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/VOQ3L4JG5OKE33KARNO3K2OZCB \
  | 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: aba1b5f126eb944ded408b5db569d91077ecdf075d3a0cc20cbbff31de908106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fabd880e53fdbfd4c6db08a10be0cfef378977f2e15680c75abc21cf2c97cda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-06-13T20:00:01Z",
    "title_canon_sha256": "d182a708a340bbc75d6dc12f8e24578590d63a41ebdaf0cbad731d9f95cd40d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3626",
    "kind": "arxiv",
    "version": 2
  }
}