Pith Number

pith:WMMKHRWI

pith:2018:WMMKHRWIBGIQP3YR5FS4IMNXGD

not attested not anchored not stored refs pending

Real Wilson Spaces I

Michael A. Hill, Michael J. Hopkins

arxiv:1806.11033 v1 · 2018-06-28 · 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{WMMKHRWIBGIQP3YR5FS4IMNXGD}

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	2026-05-18T00:12:07.177707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b318a3c6c8099107ef11e965c431b730cc040629932e441fc57d3830be142193

Aliases

arxiv: 1806.11033 · arxiv_version: 1806.11033v1 · doi: 10.48550/arxiv.1806.11033 · pith_short_12: WMMKHRWIBGIQ · pith_short_16: WMMKHRWIBGIQP3YR · pith_short_8: WMMKHRWI

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/WMMKHRWIBGIQP3YR5FS4IMNXGD \
  | 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: b318a3c6c8099107ef11e965c431b730cc040629932e441fc57d3830be142193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be8657dfe487d56e3715ee5d9affe73095cd23bae21038406675a2cd1a1944fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-06-28T15:25:03Z",
    "title_canon_sha256": "f4420a45c3cc9762d47d95f79129876f181d4e3a1368b79ae42a250f955d1726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11033",
    "kind": "arxiv",
    "version": 1
  }
}