Pith Number

pith:26TOXB57

pith:2026:26TOXB57SGE3DRGFGWL2BVWZ42

not attested not anchored not stored refs pending

Colimits in Oriented Category Theory

David Gepner, Hadrian Heine

arxiv:2608.02592 v1 · 2026-08-03 · math.AT · 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{26TOXB57SGE3DRGFGWL2BVWZ42}

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	2026-08-04T02:44:19.997364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a6eb87bf9189b1c4c53597a0d6d9e69178ff1642b19f698c9b21f7d5646ac2

Aliases

arxiv: 2608.02592 · arxiv_version: 2608.02592v1 · doi: 10.48550/arxiv.2608.02592 · pith_short_12: 26TOXB57SGE3 · pith_short_16: 26TOXB57SGE3DRGF · pith_short_8: 26TOXB57

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/26TOXB57SGE3DRGFGWL2BVWZ42 \
  | 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: d7a6eb87bf9189b1c4c53597a0d6d9e69178ff1642b19f698c9b21f7d5646ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a70563a0f1003c21af43b9fee0d914755aeca63311d9f6ef0917167029f8e343",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-08-03T17:57:33Z",
    "title_canon_sha256": "e2e26f9008d1da2da5aac3f31fd4bac8985734ba0511d70507338e8f1369f5ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02592",
    "kind": "arxiv",
    "version": 1
  }
}