Pith Number

pith:LPDZBNFM

pith:2006:LPDZBNFM67IEESO3I355MGHOXY

not attested not anchored not stored refs pending

A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds I: The Symmetric Case

Alain Joye, George A. Hagedorn

arxiv:math-ph/0607056 v1 · 2006-07-25 · 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{LPDZBNFM67IEESO3I355MGHOXY}

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	2026-05-18T01:38:32.721098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bc790b4acf7d04249db46fbd618eebe208b3123a9f76129f02c73c195444724

Aliases

arxiv: math-ph/0607056 · arxiv_version: math-ph/0607056v1 · doi: 10.48550/arxiv.math-ph/0607056 · pith_short_12: LPDZBNFM67IE · pith_short_16: LPDZBNFM67IEESO3 · pith_short_8: LPDZBNFM

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/LPDZBNFM67IEESO3I355MGHOXY \
  | 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: 5bc790b4acf7d04249db46fbd618eebe208b3123a9f76129f02c73c195444724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "384714fb7ce493cd261b1b213ef2c26b7dc0bc9e1a4d42aa6cb9a46de9d76a43",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-07-25T16:33:25Z",
    "title_canon_sha256": "572db19ac58aba96002181694dff785d2ebdf375fc37e5d6ff3174b9635cf4b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0607056",
    "kind": "arxiv",
    "version": 1
  }
}