Pith Number

pith:YBOSEU7O

pith:2013:YBOSEU7OCBAJSMHFL4XPE2GPQE

not attested not anchored not stored refs pending

On eigenfunction expansion of solutions to the Hamilton equations

Alexander Komech, Elena Kopylova

arxiv:1308.0485 v3 · 2013-08-02 · 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{YBOSEU7OCBAJSMHFL4XPE2GPQE}

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	2026-05-18T01:48:24.729049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c05d2253ee10409930e55f2ef268cf8127ce46a8193f1d2c236e2b9469d07249

Aliases

arxiv: 1308.0485 · arxiv_version: 1308.0485v3 · doi: 10.48550/arxiv.1308.0485 · pith_short_12: YBOSEU7OCBAJ · pith_short_16: YBOSEU7OCBAJSMHF · pith_short_8: YBOSEU7O

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/YBOSEU7OCBAJSMHFL4XPE2GPQE \
  | 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: c05d2253ee10409930e55f2ef268cf8127ce46a8193f1d2c236e2b9469d07249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a541cc322303210fc2c62398f7d05c3c97e8d6aa0bc810c0615f12d0c2dd4cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-02T12:58:54Z",
    "title_canon_sha256": "328fb8f4defdd04eeb67d82711117e3b256824a63a44f6a617c022bbe7d30b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0485",
    "kind": "arxiv",
    "version": 3
  }
}