Pith Number

pith:7QQWNQOJ

pith:2001:7QQWNQOJBR6GE4FK5WGEO5KG6M

not attested not anchored not stored refs pending

Product and other fine structure in polynomial resolutions of mapping spaces

Nicholas J. Kuhn, Stephen T. Ahearn

arxiv:math/0109041 v2 · 2001-09-06 · 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{7QQWNQOJBR6GE4FK5WGEO5KG6M}

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	2026-05-18T02:41:33.238214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc2166c1c90c7c6270aaed8c477546f324ab400f2000c0b997fc2e1b2ed1cba0

Aliases

arxiv: math/0109041 · arxiv_version: math/0109041v2 · doi: 10.48550/arxiv.math/0109041 · pith_short_12: 7QQWNQOJBR6G · pith_short_16: 7QQWNQOJBR6GE4FK · pith_short_8: 7QQWNQOJ

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/7QQWNQOJBR6GE4FK5WGEO5KG6M \
  | 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: fc2166c1c90c7c6270aaed8c477546f324ab400f2000c0b997fc2e1b2ed1cba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df634cebf0eff9dd375f52d72afc1e1d2e83018e52db4c7ed22fc5983f6b8ef7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-09-06T16:46:27Z",
    "title_canon_sha256": "696251031b57a01d1ec6304dc2aa615bfb776126096b0ed9df3d7a73afe327f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0109041",
    "kind": "arxiv",
    "version": 2
  }
}