Pith Number

pith:X4YQHEZL

pith:2026:X4YQHEZLQAHDNTQDD2HO76KXJT

not attested not anchored not stored refs pending

The group of homotopy self-equivalences is a Lax functor

Shoji Yokura, Toshihiro Yamaguchi

arxiv:2605.30835 v1 · 2026-05-29 · math.AT · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4YQHEZLQAHDNTQDD2HO76KXJT}

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	2026-06-01T01:03:20.039588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3103932b800e36ce031e8eeff9574cf7964e5828a538a82409bb77038fe78f

Aliases

arxiv: 2605.30835 · arxiv_version: 2605.30835v1 · doi: 10.48550/arxiv.2605.30835 · pith_short_12: X4YQHEZLQAHD · pith_short_16: X4YQHEZLQAHDNTQD · pith_short_8: X4YQHEZL

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/X4YQHEZLQAHDNTQDD2HO76KXJT \
  | 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: bf3103932b800e36ce031e8eeff9574cf7964e5828a538a82409bb77038fe78f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713da1c8c3688d9fd76da39019f3d56a6819a24e3795c50837d69f600d12fcb2",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-05-29T04:40:26Z",
    "title_canon_sha256": "025b7d5763fd115603e3ac12c7ec483e3706f9690a395c1275cfc2aa55d30baf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30835",
    "kind": "arxiv",
    "version": 1
  }
}