Pith Number

pith:CIVRD7QK

pith:2026:CIVRD7QKD3LJV7MHP46A46MFDE

not attested not anchored not stored refs pending

Frobenius--Witt cotangent complexes

Kanau Shimada

arxiv:2605.14803 v1 · 2026-05-14 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIVRD7QKD3LJV7MHP46A46MFDE}

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	2026-05-17T23:38:58.331141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122b11fe0a1ed69afd877f3c0e7985192cd41179b87658e631f517959f65b0e8

Aliases

arxiv: 2605.14803 · arxiv_version: 2605.14803v1 · doi: 10.48550/arxiv.2605.14803 · pith_short_12: CIVRD7QKD3LJ · pith_short_16: CIVRD7QKD3LJV7MH · pith_short_8: CIVRD7QK

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/CIVRD7QKD3LJV7MHP46A46MFDE \
  | 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: 122b11fe0a1ed69afd877f3c0e7985192cd41179b87658e631f517959f65b0e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc594e0e6a89dc92a2fa3e5d2ca8003be362d2e834250813f8a269b83e185bf0",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-14T13:12:58Z",
    "title_canon_sha256": "a4d6fdaabbed1217c145a6030536f19d33e72772e569aa7f548dd2a3caac94ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14803",
    "kind": "arxiv",
    "version": 1
  }
}