Pith Number

pith:GH4YUI7X

pith:2008:GH4YUI7X6CCEV4NRWXWWLAGVRC

not attested not anchored not stored refs pending

Ward-Takahashi identity for Yang-Mills theory in the Exact Renormalization Group

Hidenori Sonoda, Katsumi Itoh, Yuji Igarashi

arxiv:0808.3430 v1 · 2008-08-26 · 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{GH4YUI7X6CCEV4NRWXWWLAGVRC}

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	2026-05-18T04:24:35.461615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31f98a23f7f0844af1b1b5ed6580d588adbd449ced8ddc2a8481ad3176d245dd

Aliases

arxiv: 0808.3430 · arxiv_version: 0808.3430v1 · doi: 10.48550/arxiv.0808.3430 · pith_short_12: GH4YUI7X6CCE · pith_short_16: GH4YUI7X6CCEV4NR · pith_short_8: GH4YUI7X

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/GH4YUI7X6CCEV4NRWXWWLAGVRC \
  | 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: 31f98a23f7f0844af1b1b5ed6580d588adbd449ced8ddc2a8481ad3176d245dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e896198070e40bc77bca01360c9804f7b4b69eaf9ba6f9538fd5b15afdf219fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-08-26T01:54:49Z",
    "title_canon_sha256": "b62d729f9d0e2b02d00b4486db8c5cb4e6ec3ba4eda769f8a104e38ddc6cc49b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3430",
    "kind": "arxiv",
    "version": 1
  }
}