Pith Number

pith:PO4EQ7XI

pith:1999:PO4EQ7XIVVEAXGXTO4QSRONSXM

not attested not anchored not stored refs pending

The Goto-Imamura-Schwinger Term and Renormalization Group

Kazuhiko Nishijima, Masud Chaichian

arxiv:hep-th/9909159 v1 · 1999-09-22 · 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{PO4EQ7XIVVEAXGXTO4QSRONSXM}

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	2026-05-18T02:35:54.192297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bb8487ee8ad480b9af3772128b9b2bb2f4500f00a47c7d1a1dba864ed4d859a

Aliases

arxiv: hep-th/9909159 · arxiv_version: hep-th/9909159v1 · doi: 10.48550/arxiv.hep-th/9909159 · pith_short_12: PO4EQ7XIVVEA · pith_short_16: PO4EQ7XIVVEAXGXT · pith_short_8: PO4EQ7XI

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/PO4EQ7XIVVEAXGXTO4QSRONSXM \
  | 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: 7bb8487ee8ad480b9af3772128b9b2bb2f4500f00a47c7d1a1dba864ed4d859a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db980734ae6fc1be14a534c379c3ad338d46ff794f02ceb795771a1d4e3035ac",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-09-22T16:56:52Z",
    "title_canon_sha256": "8d0ae4ded88868fbc702fae5300d90730c9b21fbac5c7fb22e455d17b0cfd897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9909159",
    "kind": "arxiv",
    "version": 1
  }
}