Pith Number

pith:DLIGKIRH

pith:2010:DLIGKIRH3HFKYFKDNYMF3XUU5I

not attested not anchored not stored refs pending

On the Hall algebra of coherent sheaves on P^1 over F_1

Matt Szczesny

arxiv:1009.3570 v4 · 2010-09-18 · math.AG · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DLIGKIRH3HFKYFKDNYMF3XUU5I}

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	2026-05-18T04:16:40.886326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ad0652227d9caac15436e185dde94ea0d6b7f15ac11701828b62db3e45a0505

Aliases

arxiv: 1009.3570 · arxiv_version: 1009.3570v4 · doi: 10.48550/arxiv.1009.3570 · pith_short_12: DLIGKIRH3HFK · pith_short_16: DLIGKIRH3HFKYFKD · pith_short_8: DLIGKIRH

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/DLIGKIRH3HFKYFKDNYMF3XUU5I \
  | 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: 1ad0652227d9caac15436e185dde94ea0d6b7f15ac11701828b62db3e45a0505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e10ce4e5149bc7765f6d55ab5c553ac99b2892926c0ca7c172fbaff05fa5f750",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-18T17:09:40Z",
    "title_canon_sha256": "b8cce050b283afc520da11b31f26f2eac10501cae90fbe05efdec6b80d2a1d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3570",
    "kind": "arxiv",
    "version": 4
  }
}