Pith Number

pith:TMD4DJ3W

pith:1998:TMD4DJ3WB3WRZM4QJY5TNEC6NM

not attested not anchored not stored refs pending

Axion Decay in a Constant Electromagnetic Background Field and at Finite Temperature using World-line Methods

Michael G. Schmidt (Heidelberg U.), Michael Haack (Halle U.)

arxiv:hep-th/9806138 v2 · 1998-06-17 · 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{TMD4DJ3WB3WRZM4QJY5TNEC6NM}

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	2026-05-18T04:13:16.697536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b07c1a7760eed1cb3904e3b36905e6b2b360972a6bdea0bbe42afd2c0ee1b3c

Aliases

arxiv: hep-th/9806138 · arxiv_version: hep-th/9806138v2 · doi: 10.48550/arxiv.hep-th/9806138 · pith_short_12: TMD4DJ3WB3WR · pith_short_16: TMD4DJ3WB3WRZM4Q · pith_short_8: TMD4DJ3W

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/TMD4DJ3WB3WRZM4QJY5TNEC6NM \
  | 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: 9b07c1a7760eed1cb3904e3b36905e6b2b360972a6bdea0bbe42afd2c0ee1b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a597fc77e15def40a39cf9debb7a74f9f7fbd1745824d4a5862b8e97b51a74ae",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-06-17T13:18:35Z",
    "title_canon_sha256": "47cea8ecc4b073c1940d9ebeb661cc080f9284285e734dd37d41402be216f71d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9806138",
    "kind": "arxiv",
    "version": 2
  }
}