Pith Number

pith:YNYNJK7W

pith:2012:YNYNJK7WTWGEG7UD52O3A5ENYR

not attested not anchored not stored refs pending

Compact complex surfaces with geometric structures related to split quaternions

Gueo Grantcharov, Johann Davidov, Miroslav Yotov, Oleg Mushkarov

arxiv:1205.2580 v3 · 2012-05-11 · 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{YNYNJK7WTWGEG7UD52O3A5ENYR}

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	2026-05-18T01:57:33.186888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c370d4abf69d8c437e83ee9db0748dc45ea87e34267dbfb7e548daf3c7e7153a

Aliases

arxiv: 1205.2580 · arxiv_version: 1205.2580v3 · doi: 10.48550/arxiv.1205.2580 · pith_short_12: YNYNJK7WTWGE · pith_short_16: YNYNJK7WTWGEG7UD · pith_short_8: YNYNJK7W

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/YNYNJK7WTWGEG7UD52O3A5ENYR \
  | 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: c370d4abf69d8c437e83ee9db0748dc45ea87e34267dbfb7e548daf3c7e7153a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0c2c72e2eab657820130472086255a94270b99b99f603508423e56bda681ddd",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-11T17:07:00Z",
    "title_canon_sha256": "557ddd1979b212b97218b4b71f41c67cfa8a4cb860bf4b710d325314536bcb74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2580",
    "kind": "arxiv",
    "version": 3
  }
}