Pith Number

pith:EWC46T6U

pith:2010:EWC46T6U6FQLOFFK32XEYB2C4S

not attested not anchored not stored refs pending

KAM for the quantum harmonic oscillator

Beno\^it Gr\'ebert, Laurent Thomann

arxiv:1003.2793 v2 · 2010-03-14 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EWC46T6U6FQLOFFK32XEYB2C4S}

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	2026-05-18T02:08:34.030812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2585cf4fd4f160b714aadeae4c0742e4aefd0a636bb9e96104eb6529377bb881

Aliases

arxiv: 1003.2793 · arxiv_version: 1003.2793v2 · doi: 10.48550/arxiv.1003.2793 · pith_short_12: EWC46T6U6FQL · pith_short_16: EWC46T6U6FQLOFFK · pith_short_8: EWC46T6U

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/EWC46T6U6FQLOFFK32XEYB2C4S \
  | 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: 2585cf4fd4f160b714aadeae4c0742e4aefd0a636bb9e96104eb6529377bb881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd92ba6cca420a7dbfd3af44d781123fb0e4b4c6ce4a71fd7bfd741559265029",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-03-14T15:57:18Z",
    "title_canon_sha256": "2f75d86c415678e2ef5ee14bb2314f515a4cdf8a14417915be6d458b46f49c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2793",
    "kind": "arxiv",
    "version": 2
  }
}