Pith Number

pith:YYPSZQQQ

pith:2025:YYPSZQQQY3TMU2C4Z5LASBYQZT

not attested not anchored not stored refs pending

Hall algebras and Hecke modifications of vector bundles

Leonardo Mo\c{c}o, Roberto Alvarenga

arxiv:2506.00186 v1 · 2025-05-30 · 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{YYPSZQQQY3TMU2C4Z5LASBYQZT}

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	2026-07-05T11:13:30.332576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c61f2cc210c6e6ca685ccf56090710cce32599279d94e2c83e3df2365411c3c7

Aliases

arxiv: 2506.00186 · arxiv_version: 2506.00186v1 · doi: 10.48550/arxiv.2506.00186 · pith_short_12: YYPSZQQQY3TM · pith_short_16: YYPSZQQQY3TMU2C4 · pith_short_8: YYPSZQQQ

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/YYPSZQQQY3TMU2C4Z5LASBYQZT \
  | 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: c61f2cc210c6e6ca685ccf56090710cce32599279d94e2c83e3df2365411c3c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787c24daf1e27e6ee638f83b2a56fab4146cd4ad44d49317084fba832fdd4c93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-30T19:45:30Z",
    "title_canon_sha256": "18b8b96b523690aafc6c5f264a3b27cf2e8e914855157e026c043432f8d1f6c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00186",
    "kind": "arxiv",
    "version": 1
  }
}