Pith Number

pith:W4HR4I2R

pith:2024:W4HR4I2R6JRTB6QXHUAJATZEAI

not attested not anchored not stored refs pending

A Lie characterization of the Bousfield-Kan ${\mathbb{Q}}$-completion and ${\mathbb{Q}}$-good spaces

Aniceto Murillo, Mario Fuentes, Yves F\'elix

arxiv:2407.02812 v2 · 2024-07-03 · 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{W4HR4I2R6JRTB6QXHUAJATZEAI}

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.

Cited by

1 paper in Pith

A distance between maps via interleavings of relative Sullivan algebras

Receipt and verification

First computed	2026-06-25T01:17:43.095745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70f1e2351f26330fa173d00904f240201327d0efb0d13889602f0961587bf75

Aliases

arxiv: 2407.02812 · arxiv_version: 2407.02812v2 · doi: 10.48550/arxiv.2407.02812 · pith_short_12: W4HR4I2R6JRT · pith_short_16: W4HR4I2R6JRTB6QX · pith_short_8: W4HR4I2R

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/W4HR4I2R6JRTB6QXHUAJATZEAI \
  | 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: b70f1e2351f26330fa173d00904f240201327d0efb0d13889602f0961587bf75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "161624d9f6f0ae7d4fa9a94c3f138ae807ec48fdb3d45b4c0ccf391887e2c9f0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-07-03T05:16:37Z",
    "title_canon_sha256": "79ff3fdae6c5eafd5ecb06ad54244821e3428b0119a2c0ea7b1ded66b2e822f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.02812",
    "kind": "arxiv",
    "version": 2
  }
}