Pith Number

pith:UQ2NMJLF

pith:2024:UQ2NMJLFQ72YOG66FNFB3TOQ7R

not attested not anchored not stored refs pending

A variational characterization of Einstein-Brillouin-Keller quantization

Kai Cieliebak, Urs Frauenfelder

arxiv:2401.14223 v1 · 2024-01-25 · 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{UQ2NMJLFQ72YOG66FNFB3TOQ7R}

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	2026-07-05T11:34:40.999258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a434d6256587f5871bde2b4a1dcdd0fc4960431ea5030b72c5f29b4a9c2ce3a0

Aliases

arxiv: 2401.14223 · arxiv_version: 2401.14223v1 · doi: 10.48550/arxiv.2401.14223 · pith_short_12: UQ2NMJLFQ72Y · pith_short_16: UQ2NMJLFQ72YOG66 · pith_short_8: UQ2NMJLF

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/UQ2NMJLFQ72YOG66FNFB3TOQ7R \
  | 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: a434d6256587f5871bde2b4a1dcdd0fc4960431ea5030b72c5f29b4a9c2ce3a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90a9eee4ea774f2ef4cac9077443ce2e74c5835d1dfd57d22b93245009068393",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-01-25T15:03:41Z",
    "title_canon_sha256": "4d8877de2d12c624ec6572ee2f56134e81af048757826a995aa28ac5eda5ee48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.14223",
    "kind": "arxiv",
    "version": 1
  }
}