Pith Number

pith:4VPTHRSS

pith:2025:4VPTHRSSGEGXYEXF2TME5DGMMS

not attested not anchored not stored refs pending

Approximate Axiomatization for Differentially-Defined Functions

Andr\'e Platzer, Long Qian

arxiv:2506.08233 v1 · 2025-06-09 · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VPTHRSSGEGXYEXF2TME5DGMMS}

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	2026-07-05T11:18:46.659742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55f33c652310d7c12e5d4d84e8ccc64952f9a12767d2b39707241ec3e8cd57e

Aliases

arxiv: 2506.08233 · arxiv_version: 2506.08233v1 · doi: 10.48550/arxiv.2506.08233 · pith_short_12: 4VPTHRSSGEGX · pith_short_16: 4VPTHRSSGEGXYEXF · pith_short_8: 4VPTHRSS

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/4VPTHRSSGEGXYEXF2TME5DGMMS \
  | 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: e55f33c652310d7c12e5d4d84e8ccc64952f9a12767d2b39707241ec3e8cd57e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c03c2f288cb61446531d772e7387d2b83cac1b49a9f86a0c0daa87628032ffb",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2025-06-09T21:03:38Z",
    "title_canon_sha256": "9a29bd559c987880a6e88b88f959f89a79e74e98bfe45f3faa1ab02a882bec8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08233",
    "kind": "arxiv",
    "version": 1
  }
}