Pith Number

pith:LHTZWM4T

pith:2025:LHTZWM4TWAMVGEXHLSNY5KH74S

not attested not anchored not stored refs pending

Legendrian barriers in prequantization bundles

Emmanuel Opshtein

arxiv:2512.18808 v2 · 2025-12-21 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHTZWM4TWAMVGEXHLSNY5KH74S}

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	2026-05-29T02:05:38.648360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59e79b3393b0195312e75c9b8ea8ffe4969feb5809b0c551bd92e84ed6814de3

Aliases

arxiv: 2512.18808 · arxiv_version: 2512.18808v2 · doi: 10.48550/arxiv.2512.18808 · pith_short_12: LHTZWM4TWAMV · pith_short_16: LHTZWM4TWAMVGEXH · pith_short_8: LHTZWM4T

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/LHTZWM4TWAMVGEXHLSNY5KH74S \
  | 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: 59e79b3393b0195312e75c9b8ea8ffe4969feb5809b0c551bd92e84ed6814de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b91bb7dcc41614dec8ca9b9bab2f93d2b4f2829eb0a6d4367518846dfcb4872",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-12-21T17:00:53Z",
    "title_canon_sha256": "814f3efb6e6a1da7cff690419b89c5f5d66143ce5107fc882324fe2081dcb5fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.18808",
    "kind": "arxiv",
    "version": 2
  }
}