Pith Number

pith:PBCKP2S5

pith:2026:PBCKP2S5P4MMCTN2WMGR4CZH7W

not attested not anchored not stored refs pending

Bott-Chern and Aeppli homotopy

Jiahao Hu

arxiv:2606.13224 v1 · 2026-06-11 · 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{PBCKP2S5P4MMCTN2WMGR4CZH7W}

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	2026-06-12T01:09:47.477098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7844a7ea5d7f18c14dbab30d1e0b27fd9557ec23e19b5b256f21d6c9d4f7f618

Aliases

arxiv: 2606.13224 · arxiv_version: 2606.13224v1 · doi: 10.48550/arxiv.2606.13224 · pith_short_12: PBCKP2S5P4MM · pith_short_16: PBCKP2S5P4MMCTN2 · pith_short_8: PBCKP2S5

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/PBCKP2S5P4MMCTN2WMGR4CZH7W \
  | 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: 7844a7ea5d7f18c14dbab30d1e0b27fd9557ec23e19b5b256f21d6c9d4f7f618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32fb3341989ffa8585e3930b4b7d2664f518001ab8fa1f3d3149ea2399e8ae04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-11T11:38:51Z",
    "title_canon_sha256": "a23fb0d1f1d74fec69235d73c11a85c55d5c25d169f99c71bf93927b5322c914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13224",
    "kind": "arxiv",
    "version": 1
  }
}