Pith Number

pith:72Y3JYAO

pith:2000:72Y3JYAOJ36DO6RBYVCRBJKYYX

not attested not anchored not stored refs pending

Quantum and Classical Gauge Symmetries

Hiroaki Terashima (Dept. of Physics, Kazuo Fujikawa, Univ.of Tokyo)

arxiv:hep-th/0009097 v1 · 2000-09-13 · 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{72Y3JYAOJ36DO6RBYVCRBJKYYX}

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	2026-05-18T01:06:00.202047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feb1b4e00e4efc377a21c54510a558c5eb31704d66cd6131fc0602774ed68d2e

Aliases

arxiv: hep-th/0009097 · arxiv_version: hep-th/0009097v1 · doi: 10.48550/arxiv.hep-th/0009097 · pith_short_12: 72Y3JYAOJ36D · pith_short_16: 72Y3JYAOJ36DO6RB · pith_short_8: 72Y3JYAO

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/72Y3JYAOJ36DO6RBYVCRBJKYYX \
  | 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: feb1b4e00e4efc377a21c54510a558c5eb31704d66cd6131fc0602774ed68d2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb41d094028771b0376c01eb808729a55e9c8b1830df5e3a0b0e8506127690e4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-09-13T10:47:42Z",
    "title_canon_sha256": "b85fadc850b3858c5eeea25e8b1d4350211b21cca8c00788ade06e8e914fc645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0009097",
    "kind": "arxiv",
    "version": 1
  }
}