Pith Number

pith:VVFLGTEB

pith:2017:VVFLGTEBJMUGBW6LGRO44SP22T

not attested not anchored not stored refs pending

Multiplicity of Closed Reeb Orbits on Prequantization Bundles

Basak Z. Gurel, Leonardo Macarini, Viktor L. Ginzburg

arxiv:1703.04054 v1 · 2017-03-12 · math.SG · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVFLGTEBJMUGBW6LGRO44SP22T}

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	2026-05-18T00:48:50.013117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad4ab34c814b2860dbcb345dce49fad4d632b465b259169ca96e59c19494a18d

Aliases

arxiv: 1703.04054 · arxiv_version: 1703.04054v1 · doi: 10.48550/arxiv.1703.04054 · pith_short_12: VVFLGTEBJMUG · pith_short_16: VVFLGTEBJMUGBW6L · pith_short_8: VVFLGTEB

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/VVFLGTEBJMUGBW6LGRO44SP22T \
  | 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: ad4ab34c814b2860dbcb345dce49fad4d632b465b259169ca96e59c19494a18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c18e6e6f3cf67a7f5dce7c70f0055c1c8263c407dbad1ae9c20e0d583d4118",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-03-12T01:45:25Z",
    "title_canon_sha256": "79487c19ec4358cb72d6fa2146234cc4cba2eb49f943c656cdff90cfcec7c2bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04054",
    "kind": "arxiv",
    "version": 1
  }
}