Pith Number

pith:Y2WMPHDC

pith:1999:Y2WMPHDCISA6U25DWH4CZDEFQ5

not attested not anchored not stored refs pending

Path integral and pseudoclassical action for spinning particle in external electromagnetic and torsion fields

Bodo Geyer, Dmitry Gitman, Ilya Shapiro

arxiv:hep-th/9910180 v2 · 1999-10-22 · 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{Y2WMPHDCISA6U25DWH4CZDEFQ5}

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	2026-05-18T00:53:51.936215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6acc79c624481ea6ba3b1f82c8c8587625d2fa58428e294cad5a4aa771c01fd

Aliases

arxiv: hep-th/9910180 · arxiv_version: hep-th/9910180v2 · doi: 10.48550/arxiv.hep-th/9910180 · pith_short_12: Y2WMPHDCISA6 · pith_short_16: Y2WMPHDCISA6U25D · pith_short_8: Y2WMPHDC

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/Y2WMPHDCISA6U25DWH4CZDEFQ5 \
  | 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: c6acc79c624481ea6ba3b1f82c8c8587625d2fa58428e294cad5a4aa771c01fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd24233218387326f8bd270886ca4ac67fcd50cb2b9c6fb99be31f5f22fc8439",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-10-22T14:55:33Z",
    "title_canon_sha256": "52ade3e8223509aa3bb2bd4fc09793e176e9bc1d061296d7031a1df886c13b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9910180",
    "kind": "arxiv",
    "version": 2
  }
}