Pith Number

pith:KQIWPLM3

pith:2026:KQIWPLM3SHDBXRWQ7MGAEKZMQO

not attested not anchored not stored refs pending

Dualizable Additive Categories

Ishan Levy, Jiacheng Liang, Vladimir Sosnilo

arxiv:2608.04898 v1 · 2026-08-05 · math.AT · math.AG · math.CT · math.KT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQIWPLM3SHDBXRWQ7MGAEKZMQO}

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	2026-08-06T01:47:39.079147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

541167ad9b91c61bc6d0fb0c022b2c839467be9f0dce444dbdfa92c59d65103a

Aliases

arxiv: 2608.04898 · arxiv_version: 2608.04898v1 · doi: 10.48550/arxiv.2608.04898 · pith_short_12: KQIWPLM3SHDB · pith_short_16: KQIWPLM3SHDBXRWQ · pith_short_8: KQIWPLM3

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/KQIWPLM3SHDBXRWQ7MGAEKZMQO \
  | 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: 541167ad9b91c61bc6d0fb0c022b2c839467be9f0dce444dbdfa92c59d65103a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9869cafbeb7bbb56c363315aaa0c9a457ed3d467e8f3ea4e15c12c6752264640",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT",
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-08-05T14:23:49Z",
    "title_canon_sha256": "77d2f0588d790c1b70c8355b4439b950bbcdb02e605ef0c61149ec14d49791c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04898",
    "kind": "arxiv",
    "version": 1
  }
}