Pith Number

pith:M7CKFVNY

pith:2025:M7CKFVNYO7P4Q4GXJ4GC6JSM7N

not attested not anchored not stored refs pending

Thomason's colimit theorem for the double category of elements

Andrew Gill, Maru Sarazola

arxiv:2506.08246 v1 · 2025-06-09 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7CKFVNYO7P4Q4GXJ4GC6JSM7N}

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	2026-07-05T11:18:46.835083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c4a2d5b877dfc870d74f0c2f264cfb737e1c76506ac88ac4d1be642d544e6a

Aliases

arxiv: 2506.08246 · arxiv_version: 2506.08246v1 · doi: 10.48550/arxiv.2506.08246 · pith_short_12: M7CKFVNYO7P4 · pith_short_16: M7CKFVNYO7P4Q4GX · pith_short_8: M7CKFVNY

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/M7CKFVNYO7P4Q4GXJ4GC6JSM7N \
  | 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: 67c4a2d5b877dfc870d74f0c2f264cfb737e1c76506ac88ac4d1be642d544e6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e5303de18a748ed92cbcc3c1b73e54df5d176cd096c9c14866c39eee7981c87",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-06-09T21:26:12Z",
    "title_canon_sha256": "8a2c99bc53311dd45b09b2bb5096a6bbd9d34581de24fcfb6a94234a05912a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08246",
    "kind": "arxiv",
    "version": 1
  }
}