Pith Number

pith:UCA6COTE

pith:2015:UCA6COTEUU62WYO72EXWFJTF2Y

not attested not anchored not stored refs pending

Differential Equations with a Difference Quotient

Brian Street

arxiv:1509.06631 v3 · 2015-09-22 · math.CA · 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{UCA6COTEUU62WYO72EXWFJTF2Y}

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	2026-05-18T00:53:34.892681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a081e13a64a53dab61dfd12f62a665d61481048c9e831900a8d836be309275ff

Aliases

arxiv: 1509.06631 · arxiv_version: 1509.06631v3 · doi: 10.48550/arxiv.1509.06631 · pith_short_12: UCA6COTEUU62 · pith_short_16: UCA6COTEUU62WYO7 · pith_short_8: UCA6COTE

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/UCA6COTEUU62WYO72EXWFJTF2Y \
  | 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: a081e13a64a53dab61dfd12f62a665d61481048c9e831900a8d836be309275ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd812b083de2329e2cbd5add15f361144c6e0cca9683b1d5e133f5f7e94b6beb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-22T15:06:06Z",
    "title_canon_sha256": "31a82efcabaf12b46115f01a1a0c6e4553bda945b0c920974aff96723a354b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06631",
    "kind": "arxiv",
    "version": 3
  }
}