Pith Number

pith:4CORVKLE

pith:2025:4CORVKLE2PZ4RT7IR4BTAF5ZBB

not attested not anchored not stored refs pending

Doubly weak double categories

Aaron David Fairbanks, Michael Shulman

arxiv:2506.23651 v2 · 2025-06-30 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CORVKLE2PZ4RT7IR4BTAF5ZBB}

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	2026-05-25T02:01:05.207180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09d1aa964d3f3c8cfe88f033017b908757b2d31f284901973a6188c6ab1f10e

Aliases

arxiv: 2506.23651 · arxiv_version: 2506.23651v2 · doi: 10.48550/arxiv.2506.23651 · pith_short_12: 4CORVKLE2PZ4 · pith_short_16: 4CORVKLE2PZ4RT7I · pith_short_8: 4CORVKLE

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/4CORVKLE2PZ4RT7IR4BTAF5ZBB \
  | 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: e09d1aa964d3f3c8cfe88f033017b908757b2d31f284901973a6188c6ab1f10e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0206df45f2b2008908afd8be3ee4818249e179a57b41beb9dec6cbc7b9d55659",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-06-30T09:24:20Z",
    "title_canon_sha256": "24f3dc36e451da98c376d94967b51d69b0876287665b982743f799c60187322f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23651",
    "kind": "arxiv",
    "version": 2
  }
}