Pith Number

pith:TKJCAQT6

pith:2011:TKJCAQT6YESUOF5NQS7WGTFQCE

not attested not anchored not stored refs pending

Symplectic half-flat solvmanifolds

Antonio Otal, Luis Ugarte, Marisa Fern\'andez, V\'ictor Manero

arxiv:1111.4125 v4 · 2011-11-17 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKJCAQT6YESUOF5NQS7WGTFQCE}

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	2026-05-18T03:50:21.954441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a9220427ec1254717ad84bf634cb0113a15e3eb269224558e0c4d736924f0b6

Aliases

arxiv: 1111.4125 · arxiv_version: 1111.4125v4 · doi: 10.48550/arxiv.1111.4125 · pith_short_12: TKJCAQT6YESU · pith_short_16: TKJCAQT6YESUOF5N · pith_short_8: TKJCAQT6

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/TKJCAQT6YESUOF5NQS7WGTFQCE \
  | 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: 9a9220427ec1254717ad84bf634cb0113a15e3eb269224558e0c4d736924f0b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc8e68f59f282777f5b369b9a01a7378b28969d9f0a1d4be439bbc5b8988a0fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-17T15:20:09Z",
    "title_canon_sha256": "f12f96e909b84c4173e354690abb029e8110310cd61d2afa74167f28796f8d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4125",
    "kind": "arxiv",
    "version": 4
  }
}