Pith Number

pith:EW6ENZPW

pith:2024:EW6ENZPWRD7LXLVWXNJ2XYXAND

not attested not anchored not stored refs pending

The smashing spectrum of sheaves

Ko Aoki

arxiv:2406.03969 v1 · 2024-06-06 · math.CT · math.AC · 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{EW6ENZPWRD7LXLVWXNJ2XYXAND}

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.

Cited by

1 paper in Pith

Very Schwartz coidempotents and continuous spectrum

Receipt and verification

First computed	2026-07-05T08:28:18.580426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25bc46e5f688febbaeb6bb53abe2e068fde1e9b1226aad051638982ddefcfe63

Aliases

arxiv: 2406.03969 · arxiv_version: 2406.03969v1 · doi: 10.48550/arxiv.2406.03969 · pith_short_12: EW6ENZPWRD7L · pith_short_16: EW6ENZPWRD7LXLVW · pith_short_8: EW6ENZPW

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/EW6ENZPWRD7LXLVWXNJ2XYXAND \
  | 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: 25bc46e5f688febbaeb6bb53abe2e068fde1e9b1226aad051638982ddefcfe63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3608ffdd2e90776060ce94162393c7cd1e566b14f75c0d46d0cc354accc3e1af",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-06-06T11:28:26Z",
    "title_canon_sha256": "aec4574f28588c6985a816e58c87af69badf70f8589828f783dcb411435fba34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.03969",
    "kind": "arxiv",
    "version": 1
  }
}