Pith Number

pith:7Y2ASQOD

pith:2010:7Y2ASQODCYDRUGIJTPA53OPZY4

not attested not anchored not stored refs pending

On the moduli spaces of semi-stable plane sheaves of dimension one and multiplicity five

Mario Maican

arxiv:1007.1815 v3 · 2010-07-12 · 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{7Y2ASQODCYDRUGIJTPA53OPZY4}

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	2026-05-18T03:07:21.185563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe340941c316071a19099bc1ddb9f9c72593859073ad3531bc4ab1439d45fee9

Aliases

arxiv: 1007.1815 · arxiv_version: 1007.1815v3 · doi: 10.48550/arxiv.1007.1815 · pith_short_12: 7Y2ASQODCYDR · pith_short_16: 7Y2ASQODCYDRUGIJ · pith_short_8: 7Y2ASQOD

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/7Y2ASQODCYDRUGIJTPA53OPZY4 \
  | 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: fe340941c316071a19099bc1ddb9f9c72593859073ad3531bc4ab1439d45fee9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e77784565f1a8738f7ff95b446b60ed8fda21638661c102020bb56ff0f3d6b2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-12T02:12:27Z",
    "title_canon_sha256": "3e3a12ed33e73c3f5168c307a52268e1422b98979b683e86afa7416ec8bd15e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1815",
    "kind": "arxiv",
    "version": 3
  }
}