Pith Number

pith:FRADF6BQ

pith:1997:FRADF6BQCYARJ4FJGR2BLJP3GH

not attested not anchored not stored refs pending

Ward - Takahashi identities and Noether's theorem in quantum field theory

Michael Danos

arxiv:hep-th/9702096 v1 · 1997-02-12 · 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{FRADF6BQCYARJ4FJGR2BLJP3GH}

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	2026-05-18T01:05:56.191350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4032f830160114f0a9347415a5fb31f92a93378fcb08db1be682f8ef7e443a

Aliases

arxiv: hep-th/9702096 · arxiv_version: hep-th/9702096v1 · doi: 10.48550/arxiv.hep-th/9702096 · pith_short_12: FRADF6BQCYAR · pith_short_16: FRADF6BQCYARJ4FJ · pith_short_8: FRADF6BQ

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/FRADF6BQCYARJ4FJGR2BLJP3GH \
  | 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: 2c4032f830160114f0a9347415a5fb31f92a93378fcb08db1be682f8ef7e443a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf558f73e1fff935dd393863addf9fc4ed9ed01fb79c0b8814da97754ab8668",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1997-02-12T01:44:31Z",
    "title_canon_sha256": "1340278e324bbb796503a831aa0f94b2e90ea02a7112abc1cfa13ccbef3151fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9702096",
    "kind": "arxiv",
    "version": 1
  }
}