Pith Number

pith:EONW3P2B

pith:2011:EONW3P2B5BNZU5NQPY5O37YDRW

not attested not anchored not stored refs pending

Realizable homotopy colimits

Beatriz Rodriguez Gonzalez

arxiv:1104.0646 v3 · 2011-04-04 · math.AG · math.AT · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EONW3P2B5BNZU5NQPY5O37YDRW}

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	2026-05-18T04:02:13.624001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

239b6dbf41e85b9a75b07e3aedff038d9be771a5bd868d2d861bd13b4960dee4

Aliases

arxiv: 1104.0646 · arxiv_version: 1104.0646v3 · doi: 10.48550/arxiv.1104.0646 · pith_short_12: EONW3P2B5BNZ · pith_short_16: EONW3P2B5BNZU5NQ · pith_short_8: EONW3P2B

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/EONW3P2B5BNZU5NQPY5O37YDRW \
  | 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: 239b6dbf41e85b9a75b07e3aedff038d9be771a5bd868d2d861bd13b4960dee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "945ae80d10ccd64153fecc2bb12ed1e783a6a37efe34fcc646002dd422eb721c",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-04T18:20:37Z",
    "title_canon_sha256": "d58faff0dc225bdb4ff73994910ba36adcc35ebcbc90cc098b91c7f0768b0a0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0646",
    "kind": "arxiv",
    "version": 3
  }
}