Pith Number

pith:ZJ5CAOCE

pith:2017:ZJ5CAOCE5JJFZFYUBR34NO53RV

not attested not anchored not stored refs pending

A Novel Discriminant Approximation of Periodic Differential Equations

Carlos Franco, Joaquin Collado

arxiv:1709.01948 v1 · 2017-09-06 · 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{ZJ5CAOCE5JJFZFYUBR34NO53RV}

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	2026-05-18T00:35:50.751125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca7a203844ea525c97140c77c6bbbb8d5f5998315a5b6c6f40019a57dd167b5b

Aliases

arxiv: 1709.01948 · arxiv_version: 1709.01948v1 · doi: 10.48550/arxiv.1709.01948 · pith_short_12: ZJ5CAOCE5JJF · pith_short_16: ZJ5CAOCE5JJFZFYU · pith_short_8: ZJ5CAOCE

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/ZJ5CAOCE5JJFZFYUBR34NO53RV \
  | 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: ca7a203844ea525c97140c77c6bbbb8d5f5998315a5b6c6f40019a57dd167b5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d34f3c6bd8ac06200c3940989802e3a351851ebf91defad23e2c3feb698663c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-06T18:05:59Z",
    "title_canon_sha256": "b9bd14f6e5fea41b89acfde9e3226c5fd2446e507db2bcb29d0b0b180d2c3095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01948",
    "kind": "arxiv",
    "version": 1
  }
}