Pith Number

pith:GILNBKYQ

pith:2009:GILNBKYQBM6ZHKFRLYW4MKAS6A

not attested not anchored not stored refs pending

A Resolution of the Sommerfeld Paradox

Y. Charles Li, Zhiwu Lin

arxiv:0904.4676 v2 · 2009-04-29 · math.AP · math-ph · math.DS · math.MP · nlin.CD · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GILNBKYQBM6ZHKFRLYW4MKAS6A}

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	2026-05-18T04:39:39.304817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3216d0ab100b3d93a8b15e2dc62812f01903a65c08e2d9788ec5d577bddb91b2

Aliases

arxiv: 0904.4676 · arxiv_version: 0904.4676v2 · doi: 10.48550/arxiv.0904.4676 · pith_short_12: GILNBKYQBM6Z · pith_short_16: GILNBKYQBM6ZHKFR · pith_short_8: GILNBKYQ

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/GILNBKYQBM6ZHKFRLYW4MKAS6A \
  | 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: 3216d0ab100b3d93a8b15e2dc62812f01903a65c08e2d9788ec5d577bddb91b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af09cd90f184664a064fdafca7b8aa65ee8afcda3dfde2eada7e157a40e8eeda",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-04-29T18:54:55Z",
    "title_canon_sha256": "9e7047bfe6df6e4298a4217555a824f41b3b81808783b3dda451a84dc8a2bd93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4676",
    "kind": "arxiv",
    "version": 2
  }
}