Pith Number

pith:HWJPZCRT

pith:2003:HWJPZCRTWZFLK2DQOFJC3NWB67

not attested not anchored not stored refs pending

Sphalerons, spectral flow, and anomalies

C. Rupp, F.R. Klinkhamer

arxiv:hep-th/0304167 v2 · 2003-04-20 · hep-th · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWJPZCRTWZFLK2DQOFJC3NWB67}

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	2026-05-18T01:38:48.742682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d92fc8a33b64ab5687071522db6c1f7d04969cd896f9ab26dd7f3c42347fd2a

Aliases

arxiv: hep-th/0304167 · arxiv_version: hep-th/0304167v2 · doi: 10.48550/arxiv.hep-th/0304167 · pith_short_12: HWJPZCRTWZFL · pith_short_16: HWJPZCRTWZFLK2DQ · pith_short_8: HWJPZCRT

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/HWJPZCRTWZFLK2DQOFJC3NWB67 \
  | 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: 3d92fc8a33b64ab5687071522db6c1f7d04969cd896f9ab26dd7f3c42347fd2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7f1315798635a1224dfcde55408cbefcbdc38d736eaf92f8f8065c7db3b453c",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-04-20T14:37:13Z",
    "title_canon_sha256": "36f79b7afd63f56df035aea6e01684521c0dc37b1e45e64ce0e78d0adcbfda16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0304167",
    "kind": "arxiv",
    "version": 2
  }
}