Pith Number

pith:WTSCQTWA

pith:2023:WTSCQTWAPXKFTJBUPFA6UDE7H3

not attested not anchored not stored refs pending

On the Balmer spectrum of the Morel-Voevodsky category

Alexander Vishik, Peng Du

arxiv:2309.09077 v3 · 2023-09-16 · math.AG · math.AT · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTSCQTWAPXKFTJBUPFA6UDE7H3}

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

Invertible Morava motives in quadrics

Receipt and verification

First computed	2026-07-05T08:49:25.634691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e4284ec07dd459a4347941ea0c9f3ee7c3b7bdc92f79dcee929a7d90bc527d

Aliases

arxiv: 2309.09077 · arxiv_version: 2309.09077v3 · doi: 10.48550/arxiv.2309.09077 · pith_short_12: WTSCQTWAPXKF · pith_short_16: WTSCQTWAPXKFTJBU · pith_short_8: WTSCQTWA

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/WTSCQTWAPXKFTJBUPFA6UDE7H3 \
  | 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: b4e4284ec07dd459a4347941ea0c9f3ee7c3b7bdc92f79dcee929a7d90bc527d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cb80c0ca38c00201925facbbce67ca92dbf1df4ffcb9ed3fb607a04763b01a3",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-09-16T18:56:29Z",
    "title_canon_sha256": "ebd6ee69415a3374f36dd424f54a2c01a293ec6436b0d9413a72f0b61eeca302"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.09077",
    "kind": "arxiv",
    "version": 3
  }
}