Pith Number

pith:Z5JMHJS7

pith:2011:Z5JMHJS76STGPM3MJ5DLOLGF3L

not attested not anchored not stored refs pending

Epsilon expansion for infrared Yang-Mills theory in Landau gauge

Axel Weber

arxiv:1112.1157 v2 · 2011-12-06 · 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{Z5JMHJS76STGPM3MJ5DLOLGF3L}

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	2026-05-18T03:22:54.326566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf52c3a65ff4a667b36c4f46b72cc5dae6d9ee1c3f5c0c8e4a91111a068e338e

Aliases

arxiv: 1112.1157 · arxiv_version: 1112.1157v2 · doi: 10.48550/arxiv.1112.1157 · pith_short_12: Z5JMHJS76STG · pith_short_16: Z5JMHJS76STGPM3M · pith_short_8: Z5JMHJS7

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/Z5JMHJS76STGPM3MJ5DLOLGF3L \
  | 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: cf52c3a65ff4a667b36c4f46b72cc5dae6d9ee1c3f5c0c8e4a91111a068e338e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a80e7b827d976549e50f17025ece4ca016efc33fe819fd6d140e7d5d06a0dfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-12-06T04:51:58Z",
    "title_canon_sha256": "34a4687ff1c0ca940ee09c8f99e32988ae99a4a1ad18cd0dd0651fb4e2517465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1157",
    "kind": "arxiv",
    "version": 2
  }
}