Pith Number

pith:6IZ7XDMT

pith:2007:6IZ7XDMTM7UU7YQBPFLJIJZ5UY

not attested not anchored not stored refs pending

A note on scaling asymptotics for Bohr-Sommerfeld Lagrangian submanifolds

Roberto Paoletti

arxiv:0709.3395 v2 · 2007-09-21 · math.SG · math-ph · 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{6IZ7XDMTM7UU7YQBPFLJIJZ5UY}

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	2026-05-18T04:09:14.417361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f233fb8d9367e94fe201795694273da60ae3cb9cbaa816090c491671658e2d22

Aliases

arxiv: 0709.3395 · arxiv_version: 0709.3395v2 · doi: 10.48550/arxiv.0709.3395 · pith_short_12: 6IZ7XDMTM7UU · pith_short_16: 6IZ7XDMTM7UU7YQB · pith_short_8: 6IZ7XDMT

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/6IZ7XDMTM7UU7YQBPFLJIJZ5UY \
  | 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: f233fb8d9367e94fe201795694273da60ae3cb9cbaa816090c491671658e2d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d0b6e1b8191e1ad372ded15a06e92f59447038f5c94217c3f4beecb74ae985b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2007-09-21T11:20:24Z",
    "title_canon_sha256": "51d0a9a075592378af67b63003d48bad4e9d2ddad811e661bc73e44a28539c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3395",
    "kind": "arxiv",
    "version": 2
  }
}