Pith Number

pith:XJX4FOBC

pith:2007:XJX4FOBCUKDDSAOKOQJRHWQ25P

not attested not anchored not stored refs pending

T-duality, Fiber Bundles and Matrices

Asato Tsuchiya, Goro Ishiki, Shinji Shimasaki, Takaaki Ishii

arxiv:hep-th/0703021 v2 · 2007-03-02 · 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{XJX4FOBCUKDDSAOKOQJRHWQ25P}

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	2026-05-18T04:38:37.986220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba6fc2b822a2863901ca741313da1aebcd3eb11e0d2db2a8f859e340db742e0a

Aliases

arxiv: hep-th/0703021 · arxiv_version: hep-th/0703021v2 · doi: 10.48550/arxiv.hep-th/0703021 · pith_short_12: XJX4FOBCUKDD · pith_short_16: XJX4FOBCUKDDSAOK · pith_short_8: XJX4FOBC

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/XJX4FOBCUKDDSAOKOQJRHWQ25P \
  | 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: ba6fc2b822a2863901ca741313da1aebcd3eb11e0d2db2a8f859e340db742e0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e560c15a9161643daa8b5d2732f4e5514b8e9e2962c2bea544af3f5f0dd6eca9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-03-02T13:39:44Z",
    "title_canon_sha256": "4c1217beb193ddec96271729004aabf8d9fde88f8d5e56d9bd3994a3857740a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0703021",
    "kind": "arxiv",
    "version": 2
  }
}