Pith Number

pith:W6WPZEJI

pith:2026:W6WPZEJIBBPJDC5PXBPG62MI4N

not attested not anchored not stored refs pending

Compositional Dynamics in Learning and Mechanics

David I. Spivak

arxiv:2606.28984 v1 · 2026-06-27 · math.CT · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6WPZEJIBBPJDC5PXBPG62MI4N}

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	2026-06-30T01:17:48.291857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7acfc9128085e918bafb85e6f6988e362d346f21d90c81fa7d24add17826f64

Aliases

arxiv: 2606.28984 · arxiv_version: 2606.28984v1 · doi: 10.48550/arxiv.2606.28984 · pith_short_12: W6WPZEJIBBPJ · pith_short_16: W6WPZEJIBBPJDC5P · pith_short_8: W6WPZEJI

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/W6WPZEJIBBPJDC5PXBPG62MI4N \
  | 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: b7acfc9128085e918bafb85e6f6988e362d346f21d90c81fa7d24add17826f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eaca2375827ac9010706b526c3b4e0049f2faf578ea89eb2f9e4e500ad496d8",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-06-27T15:39:01Z",
    "title_canon_sha256": "a3a2ea639d4a345a2e232c550ed798881d7e52a6407918ed5228ff254b345738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28984",
    "kind": "arxiv",
    "version": 1
  }
}