Pith Number

pith:2HGTWZ6H

pith:2017:2HGTWZ6HBVKOL5KOLK5R5R46UG

not attested not anchored not stored refs pending

Toward a Galois theory of the integers over the sphere spectrum

Jack Morava, Jonathan Beardsley

arxiv:1710.05992 v4 · 2017-10-16 · 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{2HGTWZ6HBVKOL5KOLK5R5R46UG}

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	2026-05-18T00:15:05.303603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1cd3b67c70d54e5f54e5abb1ec79ea1832a61e0aa3e3f191f64357e570384d6

Aliases

arxiv: 1710.05992 · arxiv_version: 1710.05992v4 · doi: 10.48550/arxiv.1710.05992 · pith_short_12: 2HGTWZ6HBVKO · pith_short_16: 2HGTWZ6HBVKOL5KO · pith_short_8: 2HGTWZ6H

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/2HGTWZ6HBVKOL5KOLK5R5R46UG \
  | 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: d1cd3b67c70d54e5f54e5abb1ec79ea1832a61e0aa3e3f191f64357e570384d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdcb5da98747decb69ec3b2ebc2ef86786111877c163a6082c19a1226739310c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-10-16T20:29:20Z",
    "title_canon_sha256": "9a7edef4afeeb832ed7345937a0ecc76d99e3fbae6993de4f0760e3a8a128819"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05992",
    "kind": "arxiv",
    "version": 4
  }
}