Pith Number

pith:N5BJ2VNS

pith:2007:N5BJ2VNSWIVWFR5RIJSCGBPXYH

not attested not anchored not stored refs pending

A Duality Result for Moduli Spaces of Semistable Sheaves Supported on Projective Curves

Mario Maican

arxiv:0712.2498 v2 · 2007-12-15 · 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{N5BJ2VNSWIVWFR5RIJSCGBPXYH}

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	2026-05-18T03:07:21.220155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f429d55b2b22b62c7b142642305f7c1e0013b89084e46ffcbb1fb64db34e6a8

Aliases

arxiv: 0712.2498 · arxiv_version: 0712.2498v2 · doi: 10.48550/arxiv.0712.2498 · pith_short_12: N5BJ2VNSWIVW · pith_short_16: N5BJ2VNSWIVWFR5R · pith_short_8: N5BJ2VNS

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/N5BJ2VNSWIVWFR5RIJSCGBPXYH \
  | 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: 6f429d55b2b22b62c7b142642305f7c1e0013b89084e46ffcbb1fb64db34e6a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91fcebbd6684bbf2fb6913e09d3beef53648169ff93282b4d2bd81983d53b4f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-12-15T07:34:12Z",
    "title_canon_sha256": "8cf83669e7b4f070d29c46bdba457b06451c1ed24af91ebc473b28ffd79ca99d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2498",
    "kind": "arxiv",
    "version": 2
  }
}