Pith Number

pith:ZM3JO4SP

pith:2013:ZM3JO4SPP3GYL4XNU26OXAN4KI

not attested not anchored not stored refs pending

Modularity, Quaternion-Kahler spaces and Mirror Symmetry

Sergei Alexandrov, Sibasish Banerjee

arxiv:1306.1837 v3 · 2013-06-07 · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZM3JO4SPP3GYL4XNU26OXAN4KI}

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	2026-05-18T02:59:08.697174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb3697724f7ecd85f2eda6bceb81bc523a19de05a4e4354825dc646eef8c37db

Aliases

arxiv: 1306.1837 · arxiv_version: 1306.1837v3 · doi: 10.48550/arxiv.1306.1837 · pith_short_12: ZM3JO4SPP3GY · pith_short_16: ZM3JO4SPP3GYL4XN · pith_short_8: ZM3JO4SP

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/ZM3JO4SPP3GYL4XNU26OXAN4KI \
  | 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: cb3697724f7ecd85f2eda6bceb81bc523a19de05a4e4354825dc646eef8c37db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d152432f9e29b92c0467f935d50f79930c00289d778462a05b9fba165db2e429",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-06-07T20:00:35Z",
    "title_canon_sha256": "f2968d61d61225d9f08648011fea7eeede8c3f4112939f224b5ba784712e868a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1837",
    "kind": "arxiv",
    "version": 3
  }
}