Pith Number

pith:LGZPJZEP

pith:1996:LGZPJZEPQ64V6FW4OA2YFJ2DM6

not attested not anchored not stored refs pending

U-Manifolds

Alok Kumar, Cumrun Vafa

arxiv:hep-th/9611007 v2 · 1996-11-01 · 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{LGZPJZEPQ64V6FW4OA2YFJ2DM6}

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	2026-07-04T16:02:25.178482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59b2f4e48f87b95f16dc703582a74367b252437161126fd2167129e57568af22

Aliases

arxiv: hep-th/9611007 · arxiv_version: hep-th/9611007v2 · doi: 10.48550/arxiv.hep-th/9611007 · pith_short_12: LGZPJZEPQ64V · pith_short_16: LGZPJZEPQ64V6FW4 · pith_short_8: LGZPJZEP

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/LGZPJZEPQ64V6FW4OA2YFJ2DM6 \
  | 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: 59b2f4e48f87b95f16dc703582a74367b252437161126fd2167129e57568af22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a5a72c262243d923ed6541538ce38aa20f4732c09552678d8d635d41d6b8297",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-11-01T07:17:25Z",
    "title_canon_sha256": "d0cb89735118f72bb51f2cc028721287891e455c82704d24519082b2043ec4e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9611007",
    "kind": "arxiv",
    "version": 2
  }
}