Pith Number

pith:MA5ITOFD

pith:2024:MA5ITOFD3PJZI54D74UMLDFTR5

not attested not anchored not stored refs pending

Combining fixpoint and differentiation theory

Jean-Simon Pacaud Lemay, Zeinab Galal

arxiv:2407.12691 v1 · 2024-07-17 · math.CT · cs.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{MA5ITOFD3PJZI54D74UMLDFTR5}

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	2026-07-05T08:45:08.408739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

603a89b8a3dbd3947783ff28c58cb38f7bbc207e33df9ffb27294711cba8bfd4

Aliases

arxiv: 2407.12691 · arxiv_version: 2407.12691v1 · doi: 10.48550/arxiv.2407.12691 · pith_short_12: MA5ITOFD3PJZ · pith_short_16: MA5ITOFD3PJZI54D · pith_short_8: MA5ITOFD

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/MA5ITOFD3PJZI54D74UMLDFTR5 \
  | 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: 603a89b8a3dbd3947783ff28c58cb38f7bbc207e33df9ffb27294711cba8bfd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c6835a0a2b082cec7f3709fe9762c69d448e21d17ccd78d6e50c45b611ea50",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-07-17T16:12:05Z",
    "title_canon_sha256": "910827aa1b4e9553c5983219fa177fec028427e498b8f71382bf151b40689e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.12691",
    "kind": "arxiv",
    "version": 1
  }
}