Pith Number

pith:X3XWVT2Z

pith:2026:X3XWVT2ZPVPYK7NIGKYCVTDLWO

not attested not anchored not stored refs pending

A homotopy coherent Pontryagin-Thom isomorphism

Kenneth Blakey, Liam Keenan

arxiv:2607.01482 v1 · 2026-07-01 · math.AT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3XWVT2ZPVPYK7NIGKYCVTDLWO}

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	2026-07-03T00:17:01.920979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beef6acf597d5f857da832b02acc6bb3b9b740c6cb6ed6cab35c9ee7f2d84867

Aliases

arxiv: 2607.01482 · arxiv_version: 2607.01482v1 · doi: 10.48550/arxiv.2607.01482 · pith_short_12: X3XWVT2ZPVPY · pith_short_16: X3XWVT2ZPVPYK7NI · pith_short_8: X3XWVT2Z

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/X3XWVT2ZPVPYK7NIGKYCVTDLWO \
  | 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: beef6acf597d5f857da832b02acc6bb3b9b740c6cb6ed6cab35c9ee7f2d84867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb6102533eb14f50b7bf3e55fe8093432d6e9182ef6fbfa5e30fa15f66e875c9",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-01T21:24:06Z",
    "title_canon_sha256": "924a0a2b0efaad58b61bdfe47c8c252591aa09366428014f9aded3d5d421f41e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01482",
    "kind": "arxiv",
    "version": 1
  }
}