Pith Number

pith:UBU5SZND

pith:2000:UBU5SZNDNRWARMEQ4MJAILB4QP

not attested not anchored not stored refs pending

Interchanging homotopy limits and colimits in CAT

Guillermo Corti\~nas

arxiv:math/0001146 v2 · 2000-01-26 · 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{UBU5SZNDNRWARMEQ4MJAILB4QP}

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	2026-05-18T04:14:38.430221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a069d965a36c6c08b090e312042c3c83e9f41917bad69719d95f9521d4f4ebb5

Aliases

arxiv: math/0001146 · arxiv_version: math/0001146v2 · doi: 10.48550/arxiv.math/0001146 · pith_short_12: UBU5SZNDNRWA · pith_short_16: UBU5SZNDNRWARMEQ · pith_short_8: UBU5SZND

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/UBU5SZNDNRWARMEQ4MJAILB4QP \
  | 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: a069d965a36c6c08b090e312042c3c83e9f41917bad69719d95f9521d4f4ebb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c31f9d30986c4d228bb504738eb97bb1aad0c4367b767a422bf81dd132b4fb12",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2000-01-26T08:59:22Z",
    "title_canon_sha256": "64d0f3e64c92c8d5881a3221adfd014249152827acd4863444bdde8889f6a6eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0001146",
    "kind": "arxiv",
    "version": 2
  }
}