Pith Number

pith:SUYCXJMR

pith:2003:SUYCXJMRGMB7XQ7WV6PKM5GMND

not attested not anchored not stored refs pending

Commuting homotopy limits and smash products

Holger Reich, Marco Varisco, Wolfgang Lueck

arxiv:math/0302116 v2 · 2003-02-11 · 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{SUYCXJMRGMB7XQ7WV6PKM5GMND}

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	2026-05-18T02:18:41.426538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95302ba5913303fbc3f6af9ea674cc68e57358719cb1bbcb24ae2e33764ac9e5

Aliases

arxiv: math/0302116 · arxiv_version: math/0302116v2 · doi: 10.48550/arxiv.math/0302116 · pith_short_12: SUYCXJMRGMB7 · pith_short_16: SUYCXJMRGMB7XQ7W · pith_short_8: SUYCXJMR

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/SUYCXJMRGMB7XQ7WV6PKM5GMND \
  | 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: 95302ba5913303fbc3f6af9ea674cc68e57358719cb1bbcb24ae2e33764ac9e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e30c2e352f0aee3b3d2e856252e0d902ab2b3d5e52f630b46b01b0fa642b487f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2003-02-11T10:31:47Z",
    "title_canon_sha256": "547a6ad1e3875fd2411db3dfe481f7a1a412491d4bdfc38e473381573c71e9fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302116",
    "kind": "arxiv",
    "version": 2
  }
}