Pith Number

pith:AI45LZES

pith:2010:AI45LZESR2MVUDEWR7QBBNJ4Q2

not attested not anchored not stored refs pending

Evolution equations on non flat waveguides

Piero D'Ancona, Reinhard Racke

arxiv:1010.0817 v1 · 2010-10-05 · math.AP · 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{AI45LZESR2MVUDEWR7QBBNJ4Q2}

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	2026-05-18T04:39:50.829497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0239d5e4928e995a0c968fe010b53c86bc6f84fb48c90882777a518c1ac6169d

Aliases

arxiv: 1010.0817 · arxiv_version: 1010.0817v1 · doi: 10.48550/arxiv.1010.0817 · pith_short_12: AI45LZESR2MV · pith_short_16: AI45LZESR2MVUDEW · pith_short_8: AI45LZES

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/AI45LZESR2MVUDEWR7QBBNJ4Q2 \
  | 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: 0239d5e4928e995a0c968fe010b53c86bc6f84fb48c90882777a518c1ac6169d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7b6ba96330ed8f2d98b969b7664a6b28bb5436aa189c9d40b316cb4fa6b303f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-05T09:38:09Z",
    "title_canon_sha256": "43203a378befdaba8167f9c57ee34c619ff16890fedcc0621e4a2729fba73d68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0817",
    "kind": "arxiv",
    "version": 1
  }
}