Pith Number

pith:CNW6NJOF

pith:2015:CNW6NJOFKC3WJNLQ5JMAXRPH6I

not attested not anchored not stored refs pending

Functorial CW-approximation

Philip S. Hirschhorn

arxiv:1508.01944 v1 · 2015-08-08 · 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{CNW6NJOFKC3WJNLQ5JMAXRPH6I}

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	2026-05-18T01:35:37.484379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

136de6a5c550b764b570ea580bc5e7f224a258ec067f2e2c67642bfe6598988b

Aliases

arxiv: 1508.01944 · arxiv_version: 1508.01944v1 · doi: 10.48550/arxiv.1508.01944 · pith_short_12: CNW6NJOFKC3W · pith_short_16: CNW6NJOFKC3WJNLQ · pith_short_8: CNW6NJOF

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/CNW6NJOFKC3WJNLQ5JMAXRPH6I \
  | 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: 136de6a5c550b764b570ea580bc5e7f224a258ec067f2e2c67642bfe6598988b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe57be8186303883716948fd7e89265a148eeed884687b6ffabbea52143b14b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-08-08T18:47:30Z",
    "title_canon_sha256": "0b9d9a832ee205be31751e4333470bacd2e2e1a6f5c0eaf0cace26a02dc95104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01944",
    "kind": "arxiv",
    "version": 1
  }
}