Pith Number

pith:IJ62QMBX

pith:2017:IJ62QMBXPNMDAJETIOGC6IVYEN

not attested not anchored not stored refs pending

The Lubin-Tate stack and Gross-Hopkins duality

Sanath K. Devalapurkar

arxiv:1711.04806 v3 · 2017-11-13 · 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{IJ62QMBXPNMDAJETIOGC6IVYEN}

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	2026-05-18T00:10:47.232925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

427da830377b58302493438c2f22b8235d1d51b060535be097b698f919f62ba4

Aliases

arxiv: 1711.04806 · arxiv_version: 1711.04806v3 · doi: 10.48550/arxiv.1711.04806 · pith_short_12: IJ62QMBXPNMD · pith_short_16: IJ62QMBXPNMDAJET · pith_short_8: IJ62QMBX

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/IJ62QMBXPNMDAJETIOGC6IVYEN \
  | 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: 427da830377b58302493438c2f22b8235d1d51b060535be097b698f919f62ba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10974dab33cd0ee8e859d943bb402d25cfdeefeb40505ea86980a93971cce982",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-11-13T19:23:53Z",
    "title_canon_sha256": "6e552aff2531106f3c10adc644a974ab3605f1af561ba1f578ed924e8168d407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04806",
    "kind": "arxiv",
    "version": 3
  }
}