Pith Number

pith:ZA2QWAWD

pith:2000:ZA2QWAWDLHKW5UO4EWETLL2CUU

not attested not anchored not stored refs pending

BPS Saturated Vacua Interpolation along One Compact Dimension

Ralf Hofmann

arxiv:hep-th/0004178 v2 · 2000-04-26 · 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{ZA2QWAWDLHKW5UO4EWETLL2CUU}

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	2026-07-04T16:20:44.960496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8350b02c359d56ed1dc258935af42a51b7f9dbc1b1023c8cb3d44690007f696

Aliases

arxiv: hep-th/0004178 · arxiv_version: hep-th/0004178v2 · doi: 10.48550/arxiv.hep-th/0004178 · pith_short_12: ZA2QWAWDLHKW · pith_short_16: ZA2QWAWDLHKW5UO4 · pith_short_8: ZA2QWAWD

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/ZA2QWAWDLHKW5UO4EWETLL2CUU \
  | 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: c8350b02c359d56ed1dc258935af42a51b7f9dbc1b1023c8cb3d44690007f696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fde6ea7090acc26a52c3325e49abd720ce205a77f4e106eb41596bf12cca1f0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-04-26T01:18:33Z",
    "title_canon_sha256": "3e0a22a38b2f66f1ada8bfb682c7de9262505c710eb5bd93b390aa7e6e034d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0004178",
    "kind": "arxiv",
    "version": 2
  }
}