Pith Number

pith:SXAQNM72

pith:2017:SXAQNM72E4KBV2FCFU5PPFUEJT

not attested not anchored not stored refs pending

On the comparison of stable and unstable $p$-completion

A. K. Bousfield, Tobias Barthel

arxiv:1712.07633 v1 · 2017-12-20 · 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{SXAQNM72E4KBV2FCFU5PPFUEJT}

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	2026-05-18T00:27:33.984883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95c106b3fa27141ae8a22d3af796844cf5da40b55eb408ede112a7c39676c809

Aliases

arxiv: 1712.07633 · arxiv_version: 1712.07633v1 · doi: 10.48550/arxiv.1712.07633 · pith_short_12: SXAQNM72E4KB · pith_short_16: SXAQNM72E4KBV2FC · pith_short_8: SXAQNM72

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/SXAQNM72E4KBV2FCFU5PPFUEJT \
  | 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: 95c106b3fa27141ae8a22d3af796844cf5da40b55eb408ede112a7c39676c809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "871cfd926c727f0bbfa82b7219720294482d35dfb9c201b658d3e4120c5992a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-12-20T18:41:58Z",
    "title_canon_sha256": "80449e22e7fa7e5944cae1c22144c86fa67456856e69ff20d0af6112325b4044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07633",
    "kind": "arxiv",
    "version": 1
  }
}