Pith Number

pith:VMWY6AB5

pith:2004:VMWY6AB57G3PECSWWYAKUD3HYR

not attested not anchored not stored refs pending

Product-Group Unification in Type IIB String Thoery

Taizan Watari, T. Yanagida

arxiv:hep-ph/0402160 v2 · 2004-02-16 · hep-ph · 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{VMWY6AB57G3PECSWWYAKUD3HYR}

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	2026-05-18T02:36:29.784444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab2d8f003df9b6f20a56b600aa0f67c473e53dba577d43450dfad465fc900da2

Aliases

arxiv: hep-ph/0402160 · arxiv_version: hep-ph/0402160v2 · doi: 10.48550/arxiv.hep-ph/0402160 · pith_short_12: VMWY6AB57G3P · pith_short_16: VMWY6AB57G3PECSW · pith_short_8: VMWY6AB5

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/VMWY6AB57G3PECSWWYAKUD3HYR \
  | 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: ab2d8f003df9b6f20a56b600aa0f67c473e53dba577d43450dfad465fc900da2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c5fa4204bc5f34b8f79a487cfecdefa6ef1514d22b81fbb7d9b96af3038388",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-02-16T13:59:26Z",
    "title_canon_sha256": "26d910440a4da0e8e7563147e559dab17d662ca7f6389e3e93550d7cf80a2b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0402160",
    "kind": "arxiv",
    "version": 2
  }
}