Pith Number

pith:FYJ7RL72

pith:2019:FYJ7RL72JJ3QYWEUBG2XEYN2AQ

not attested not anchored not stored refs pending

The Wheel Conditions and K-theoretic Hall Algebras

Yu Zhao

arxiv:1909.07870 v2 · 2019-09-17 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYJ7RL72JJ3QYWEUBG2XEYN2AQ}

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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.

Cited by

1 paper in Pith

$K$-theoretic Hall algebras and Coulomb branches

Receipt and verification

First computed	2026-06-10T01:09:09.156458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e13f8affa4a770c589409b57261ba041c985abfcd164498ad3e7737198d87e0

Aliases

arxiv: 1909.07870 · arxiv_version: 1909.07870v2 · doi: 10.48550/arxiv.1909.07870 · pith_short_12: FYJ7RL72JJ3Q · pith_short_16: FYJ7RL72JJ3QYWEU · pith_short_8: FYJ7RL72

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/FYJ7RL72JJ3QYWEUBG2XEYN2AQ \
  | 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: 2e13f8affa4a770c589409b57261ba041c985abfcd164498ad3e7737198d87e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2b105b6bd6478879471f2f6f9ce7c11e8610de8b511c9b2242c02984904c62",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-09-17T15:03:37Z",
    "title_canon_sha256": "c10d02bb658a698672d2520bd6e66824f6374fd7bfe1489491dc22a63884e6ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.07870",
    "kind": "arxiv",
    "version": 2
  }
}