Pith Number

pith:4TCQTYVG

pith:2015:4TCQTYVG7JVOBDU74TWSWU4BSC

not attested not anchored not stored refs pending

On two moduli spaces of sheaves supported on quadric surfaces

Mario Maican

arxiv:1501.02556 v2 · 2015-01-12 · 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{4TCQTYVG7JVOBDU74TWSWU4BSC}

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	2026-05-18T02:26:38.411120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c509e2a6fa6ae08e9fe4ed2b53819082aa1b29ab26897bfa24521731ac38ca

Aliases

arxiv: 1501.02556 · arxiv_version: 1501.02556v2 · doi: 10.48550/arxiv.1501.02556 · pith_short_12: 4TCQTYVG7JVO · pith_short_16: 4TCQTYVG7JVOBDU7 · pith_short_8: 4TCQTYVG

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/4TCQTYVG7JVOBDU74TWSWU4BSC \
  | 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: e4c509e2a6fa6ae08e9fe4ed2b53819082aa1b29ab26897bfa24521731ac38ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77bba32df201ca0c7987b1fca6c9035de63ed81124ec7198c2c371ea4c155c58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-12T07:38:47Z",
    "title_canon_sha256": "9adc11258f57b5ee0c5a5d63337b4272d523599548612a7728f6043b01ca8a52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02556",
    "kind": "arxiv",
    "version": 2
  }
}