Pith Number

pith:SV6LPGM4

pith:2015:SV6LPGM4FP3J5T7T2MCHU72H55

not attested not anchored not stored refs pending

The Quillen model category of topological spaces

Philip S. Hirschhorn

arxiv:1508.01942 v3 · 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{SV6LPGM4FP3J5T7T2MCHU72H55}

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	2026-05-18T00:32:21.656504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

957cb7999c2bf69ecff3d3047a7f47ef6156248629f491ab7c954cd9d6969185

Aliases

arxiv: 1508.01942 · arxiv_version: 1508.01942v3 · doi: 10.48550/arxiv.1508.01942 · pith_short_12: SV6LPGM4FP3J · pith_short_16: SV6LPGM4FP3J5T7T · pith_short_8: SV6LPGM4

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/SV6LPGM4FP3J5T7T2MCHU72H55 \
  | 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: 957cb7999c2bf69ecff3d3047a7f47ef6156248629f491ab7c954cd9d6969185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb612a7ba1622adbb5312bec00cbcf4d3e981f822de1cfe906117d403500d2bd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-08-08T18:40:46Z",
    "title_canon_sha256": "7ed2a0ef142be7b153dd51112d97d6ca96569f9627b27c8f9fa9f324cbcfe46a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01942",
    "kind": "arxiv",
    "version": 3
  }
}