Pith Number

pith:BPG7XZ2I

pith:1999:BPG7XZ2IDE2HXBOAUDXHV5WAUX

not attested not anchored not stored refs pending

Physical equivalence on non-standard space and symmetries on infinitesimal- lattice spaces

Tsunehiro Kobayashi

arxiv:hep-th/9910152 v1 · 1999-10-19 · 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{BPG7XZ2IDE2HXBOAUDXHV5WAUX}

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	2026-05-18T04:36:19.012535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bcdfbe74819347b85c0a0ee7af6c0a5fce57a9bc7444c55b02870c848d0e43b

Aliases

arxiv: hep-th/9910152 · arxiv_version: hep-th/9910152v1 · doi: 10.48550/arxiv.hep-th/9910152 · pith_short_12: BPG7XZ2IDE2H · pith_short_16: BPG7XZ2IDE2HXBOA · pith_short_8: BPG7XZ2I

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/BPG7XZ2IDE2HXBOAUDXHV5WAUX \
  | 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: 0bcdfbe74819347b85c0a0ee7af6c0a5fce57a9bc7444c55b02870c848d0e43b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30a687fafec4e79ac26e94ccf37e3d987e8f745661d597ef37cc111546db7eb7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-10-19T03:33:01Z",
    "title_canon_sha256": "ee373b528c5d5ccb6c1846c3fe4f38345d0dcdc246ffe67d84e12847dd0dc194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9910152",
    "kind": "arxiv",
    "version": 1
  }
}