Pith Number

pith:HY2QSHJR

pith:2013:HY2QSHJR7VG45ULRWRPQFUFJET

not attested not anchored not stored refs pending

Geometric Quantization of real polarizations via sheaves

Eva Miranda, Francisco Presas

arxiv:1301.2551 v3 · 2013-01-11 · math.SG · math-ph · math.DG · 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{HY2QSHJR7VG45ULRWRPQFUFJET}

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	2026-05-18T00:20:22.673574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e35091d31fd4dced171b45f02d0a924ef84cb6be37086db6b18617d324cf20e

Aliases

arxiv: 1301.2551 · arxiv_version: 1301.2551v3 · doi: 10.48550/arxiv.1301.2551 · pith_short_12: HY2QSHJR7VG4 · pith_short_16: HY2QSHJR7VG45ULR · pith_short_8: HY2QSHJR

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/HY2QSHJR7VG45ULRWRPQFUFJET \
  | 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: 3e35091d31fd4dced171b45f02d0a924ef84cb6be37086db6b18617d324cf20e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "943f7ce7d286ff58278661069f828681a9c15ce0830272e1ffdcf3d6c2635939",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-01-11T17:01:25Z",
    "title_canon_sha256": "2e625221a2da7d583cf4c90515a2e22eca5d84916ae26a4ad3cc4e16e4f79ae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2551",
    "kind": "arxiv",
    "version": 3
  }
}