Pith Number

pith:4LAFEM6C

pith:2016:4LAFEM6CGZUUA7QYHDEQWJNJQQ

not attested not anchored not stored refs pending

Decay Properties of Solutions to a 4-parameter Family of Wave Equations

Ryan C. Thompson

arxiv:1610.01653 v1 · 2016-10-05 · 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{4LAFEM6CGZUUA7QYHDEQWJNJQQ}

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	2026-05-18T01:03:05.315392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2c05233c23669407e1838c90b25a98423512f59a6f4f53ad51b6211ba658525

Aliases

arxiv: 1610.01653 · arxiv_version: 1610.01653v1 · doi: 10.48550/arxiv.1610.01653 · pith_short_12: 4LAFEM6CGZUU · pith_short_16: 4LAFEM6CGZUUA7QY · pith_short_8: 4LAFEM6C

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/4LAFEM6CGZUUA7QYHDEQWJNJQQ \
  | 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: e2c05233c23669407e1838c90b25a98423512f59a6f4f53ad51b6211ba658525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11008223c737b8129249917cee5df606a4722320e6553cb12fadc05c4ebfbc74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-05T21:13:12Z",
    "title_canon_sha256": "195ab62469105549a114989e01783dfaee9ec22f813d6f590ebda5fd53bbcc81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01653",
    "kind": "arxiv",
    "version": 1
  }
}