Pith Number

pith:CZM7EYPJ

pith:2017:CZM7EYPJCQBB6ZD2VFKLSSKNCT

not attested not anchored not stored refs pending

Periodic solutions for indefinite singular equations with applications to the weak case

Jos\'e Godoy, Manuel Zamora

arxiv:1707.04513 v1 · 2017-07-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZM7EYPJCQBB6ZD2VFKLSSKNCT}

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	2026-05-18T00:40:17.939867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1659f261e914021f647aa954b9494d14e8a89c7cc8c6245c0f7e604c244bc7f8

Aliases

arxiv: 1707.04513 · arxiv_version: 1707.04513v1 · doi: 10.48550/arxiv.1707.04513 · pith_short_12: CZM7EYPJCQBB · pith_short_16: CZM7EYPJCQBB6ZD2 · pith_short_8: CZM7EYPJ

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/CZM7EYPJCQBB6ZD2VFKLSSKNCT \
  | 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: 1659f261e914021f647aa954b9494d14e8a89c7cc8c6245c0f7e604c244bc7f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddfde58ee65f4a605d484df0d85c5a2725722fdb5f7eaa862435540536ab0641",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-14T14:00:36Z",
    "title_canon_sha256": "8f2a694f37491be0cae611c4710df373aca38283ce7481c6d18132472d16c893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04513",
    "kind": "arxiv",
    "version": 1
  }
}