Pith Number

pith:AZK32O4Q

pith:2015:AZK32O4QKEAMUFBUAWKL6EKXCT

not attested not anchored not stored refs pending

Integrable solutions of inhomogeneous refinement type equations on intervals

Janusz Morawiec, Rafa{\l} Kapica

arxiv:1507.07401 v1 · 2015-07-27 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZK32O4QKEAMUFBUAWKL6EKXCT}

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	2026-05-18T01:36:16.463952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0655bd3b905100ca14340594bf115714e44a91816a483096b47b290278de3fb8

Aliases

arxiv: 1507.07401 · arxiv_version: 1507.07401v1 · doi: 10.48550/arxiv.1507.07401 · pith_short_12: AZK32O4QKEAM · pith_short_16: AZK32O4QKEAMUFBU · pith_short_8: AZK32O4Q

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/AZK32O4QKEAMUFBUAWKL6EKXCT \
  | 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: 0655bd3b905100ca14340594bf115714e44a91816a483096b47b290278de3fb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c0b3aa07be56de3cbf518f9c8862062f53a0b8ac916f2a5415019bc5436b284",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-27T13:38:45Z",
    "title_canon_sha256": "d13df7fb114e6814293b615f9a802de5115dc2a94785ef426f24396b432da495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07401",
    "kind": "arxiv",
    "version": 1
  }
}