Pith Number

pith:4A3NXAFK

pith:2014:4A3NXAFKHDTPJYYTFBDOD4OKKJ

not attested not anchored not stored refs pending

The a-function for gauge theories

C. Poole, I. Jack

arxiv:1411.1301 v2 · 2014-11-05 · 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{4A3NXAFKHDTPJYYTFBDOD4OKKJ}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-05-18T00:39:29.309991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e036db80aa38e6f4e3132846e1f1ca527b74b6a3299a2ef86290f8212dd435a1

Aliases

arxiv: 1411.1301 · arxiv_version: 1411.1301v2 · doi: 10.48550/arxiv.1411.1301 · pith_short_12: 4A3NXAFKHDTP · pith_short_16: 4A3NXAFKHDTPJYYT · pith_short_8: 4A3NXAFK

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/4A3NXAFKHDTPJYYTFBDOD4OKKJ \
  | 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: e036db80aa38e6f4e3132846e1f1ca527b74b6a3299a2ef86290f8212dd435a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70107d0816275687a5c860857d3ee067cebf07dceb7e8bc9d06cead2000d56ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-11-05T15:42:48Z",
    "title_canon_sha256": "9468a62ede302f5344abd8e7550647df8b6ea1fa5bcc5d77460b69e75b302986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1301",
    "kind": "arxiv",
    "version": 2
  }
}