Pith Number

pith:HANK5YHA

pith:2025:HANK5YHAT2PVJKT5BBKYX5FR4A

not attested not anchored not stored refs pending

The Eilenberg-MacLane Spectrum of \mathbb{F}_1

Jonathan Beardsley

arxiv:2508.01524 v2 · 2025-08-02 · 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{HANK5YHAT2PVJKT5BBKYX5FR4A}

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	2026-05-29T02:05:35.652593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

381aaee0e09e9f54aa7d08558bf4b1e02db79751c7da35b01e3e9a5ac9a6640e

Aliases

arxiv: 2508.01524 · arxiv_version: 2508.01524v2 · doi: 10.48550/arxiv.2508.01524 · pith_short_12: HANK5YHAT2PV · pith_short_16: HANK5YHAT2PVJKT5 · pith_short_8: HANK5YHA

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/HANK5YHAT2PVJKT5BBKYX5FR4A \
  | 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: 381aaee0e09e9f54aa7d08558bf4b1e02db79751c7da35b01e3e9a5ac9a6640e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60832e058ac57458b9da9ae3333af6b56070ad7400a39307c0ac43042672fedd",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-08-02T23:58:38Z",
    "title_canon_sha256": "26fd9237eeb3d51eb8bfbbec74ab07dcf98663f55a0980afcf87626a29398145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.01524",
    "kind": "arxiv",
    "version": 2
  }
}