Pith Number

pith:ZYIV576I

pith:2025:ZYIV576IQQNH3YY474KRZHDJRL

not attested not anchored not stored refs pending

Comparison of Cohomological and K-theoretical Hall algebra

Felix K\"ung, \v{S}pela \v{S}penko

arxiv:2507.08417 v1 · 2025-07-11 · math.KT · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYIV576IQQNH3YY474KRZHDJRL}

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	2026-07-05T11:35:37.790443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce115effc8841a7de31cff151c9c698ae37324a59a13a0d48eca198328775ea1

Aliases

arxiv: 2507.08417 · arxiv_version: 2507.08417v1 · doi: 10.48550/arxiv.2507.08417 · pith_short_12: ZYIV576IQQNH · pith_short_16: ZYIV576IQQNH3YY4 · pith_short_8: ZYIV576I

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/ZYIV576IQQNH3YY474KRZHDJRL \
  | 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: ce115effc8841a7de31cff151c9c698ae37324a59a13a0d48eca198328775ea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140160f0a464c6178f7f38a98436c4240c0c75d1bc98055c7aff01a477bbde59",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2025-07-11T09:04:20Z",
    "title_canon_sha256": "86af271dd0ffb79ef39829b7b5cb47b6471859127c3f6b74bf75c4cdcf0680aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08417",
    "kind": "arxiv",
    "version": 1
  }
}