Pith Number

pith:25LRPK2V

pith:2011:25LRPK2VDVLSS7G5OESPCGHTLE

not attested not anchored not stored refs pending

The mod 2 homology of infinite loopspaces

Jason B. McCarty, Nicholas J. Kuhn

arxiv:1109.3694 v3 · 2011-09-16 · 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{25LRPK2VDVLSS7G5OESPCGHTLE}

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	2026-05-18T02:41:43.657990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d75717ab551d57297cdd7124f118f3593db77a78c7300dda60cebb83de4bbb06

Aliases

arxiv: 1109.3694 · arxiv_version: 1109.3694v3 · doi: 10.48550/arxiv.1109.3694 · pith_short_12: 25LRPK2VDVLS · pith_short_16: 25LRPK2VDVLSS7G5 · pith_short_8: 25LRPK2V

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/25LRPK2VDVLSS7G5OESPCGHTLE \
  | 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: d75717ab551d57297cdd7124f118f3593db77a78c7300dda60cebb83de4bbb06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05841b79b0d86ef24d5dc0e9a460ec398e79ae55c729c43b80b4dca63e27f0a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-16T19:19:45Z",
    "title_canon_sha256": "d06dfeb7d525491e283c55ea8e8e45d15b8cbd9c7ff64b435f8a9caa5e239baa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3694",
    "kind": "arxiv",
    "version": 3
  }
}