Pith Number

pith:MODK6N7H

pith:2010:MODK6N7HPHHFTESZAFEHQDTXKG

not attested not anchored not stored refs pending

The elastic wave equation of limited smoothness

Gunther Uhlmann, Hart Smith, Maarten de Hoop, Valeriy Brytik

arxiv:1009.0933 v1 · 2010-09-05 · 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{MODK6N7HPHHFTESZAFEHQDTXKG}

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	2026-05-18T04:41:24.295809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6386af37e779ce5992590148780e77519537a3be66d53b6b366a8655153971b8

Aliases

arxiv: 1009.0933 · arxiv_version: 1009.0933v1 · doi: 10.48550/arxiv.1009.0933 · pith_short_12: MODK6N7HPHHF · pith_short_16: MODK6N7HPHHFTESZ · pith_short_8: MODK6N7H

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/MODK6N7HPHHFTESZAFEHQDTXKG \
  | 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: 6386af37e779ce5992590148780e77519537a3be66d53b6b366a8655153971b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "777ead968009575ca6be25fc5b2bec051977e9dfe45bcca052a0324f25ac2b65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-05T17:04:33Z",
    "title_canon_sha256": "d3156752cf861869d98be75ac08de66c437c56303b7ce8f28bbf0bb7d9e48082"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0933",
    "kind": "arxiv",
    "version": 1
  }
}