Pith Number

pith:HZON332P

pith:2025:HZON332PMKZWNQ6TBWBER4DVWS

not attested not anchored not stored refs pending

Totally acyclic complexes and homological invariants over arbitrary rings

Haiyan Zhu, Jiangsheng Hu, Jian Wang, Yunxia Li

arxiv:2506.23277 v5 · 2025-06-29 · math.RA · 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{HZON332PMKZWNQ6TBWBER4DVWS}

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	2026-05-21T01:04:14.979920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e5cddef4f62b366c3d30d8248f075b4ac5df04872893c26618cda4cb4181af5

Aliases

arxiv: 2506.23277 · arxiv_version: 2506.23277v5 · doi: 10.48550/arxiv.2506.23277 · pith_short_12: HZON332PMKZW · pith_short_16: HZON332PMKZWNQ6T · pith_short_8: HZON332P

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/HZON332PMKZWNQ6TBWBER4DVWS \
  | 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: 3e5cddef4f62b366c3d30d8248f075b4ac5df04872893c26618cda4cb4181af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d8a1c9f857acd0d46b40441c9f1cc60da9c69bb0c5a4cc94213d2d5aaaa532",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-06-29T15:09:37Z",
    "title_canon_sha256": "f0071e4062a723778ee197f5315ef9aae09ad4a61e83fa92697af03340cd2dd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23277",
    "kind": "arxiv",
    "version": 5
  }
}