Pith Number

pith:TL67NRYQ

pith:2006:TL67NRYQTZWGT2WXFQF7VUK777

not attested not anchored not stored refs pending

T-duality of ZZ-brane

Fumihiko Sugino (Okayama Inst. Quantum Phys.), Tsunehide Kuroki (KEK)

arxiv:hep-th/0612042 v2 · 2006-12-06 · 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{TL67NRYQTZWGT2WXFQF7VUK777}

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	2026-05-18T03:24:21.536405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9afdf6c7109e6c69ead72c0bfad15ffffceac085b8b10ee66bfd3bb2e6f4be65

Aliases

arxiv: hep-th/0612042 · arxiv_version: hep-th/0612042v2 · doi: 10.48550/arxiv.hep-th/0612042 · pith_short_12: TL67NRYQTZWG · pith_short_16: TL67NRYQTZWGT2WX · pith_short_8: TL67NRYQ

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/TL67NRYQTZWGT2WXFQF7VUK777 \
  | 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: 9afdf6c7109e6c69ead72c0bfad15ffffceac085b8b10ee66bfd3bb2e6f4be65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78464897d7725e18d2a396c9ae4d08864c0d9e59a980d02e2d18dddccabf8777",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-06T01:22:01Z",
    "title_canon_sha256": "038143b15d6553b5da9df600242c5e60ef1f3b7fba6f97fe348f3038c162a99b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612042",
    "kind": "arxiv",
    "version": 2
  }
}