Pith Number

pith:L4JE4EAD

pith:2006:L4JE4EADLHAF6ELYWIMZ7KXBSM

not attested not anchored not stored refs pending

Quaternion-Kahler spaces, hyperkahler cones, and the c-map

Cumrun Vafa, Martin Rocek, Stefan Vandoren

arxiv:math/0603048 v3 · 2006-03-02 · math.DG · 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{L4JE4EADLHAF6ELYWIMZ7KXBSM}

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	2026-07-04T14:53:56.574438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f124e100359c05f1178b2199faae19327eedefbe96f3cb9fb0f322ca831cce2

Aliases

arxiv: math/0603048 · arxiv_version: math/0603048v3 · doi: 10.48550/arxiv.math/0603048 · pith_short_12: L4JE4EADLHAF · pith_short_16: L4JE4EADLHAF6ELY · pith_short_8: L4JE4EAD

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/L4JE4EADLHAF6ELYWIMZ7KXBSM \
  | 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: 5f124e100359c05f1178b2199faae19327eedefbe96f3cb9fb0f322ca831cce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a0d6b8281033d3ab352e87df1389f8542fc8b5c14ab7f21cda75c5858d96df4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-03-02T14:32:50Z",
    "title_canon_sha256": "d7511f9279e3fd12ee9a8d15d494254804cf088323846eb62e555bd0709c101a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603048",
    "kind": "arxiv",
    "version": 3
  }
}