Pith Number

pith:6JNYSSS6

pith:2015:6JNYSSS6N3GBANA36VPUWXRIBM

not attested not anchored not stored refs pending

Moduli spaces of 1-dimensional semi-stable sheaves and Strange duality on $\mathbb{P}^2$

Yao Yuan

arxiv:1504.06689 v3 · 2015-04-25 · 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{6JNYSSS6N3GBANA36VPUWXRIBM}

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	2026-05-18T00:42:39.802171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f25b894a5e6ecc10341bf55f4b5e280b36e30a2bd75db85b999acf97d9a07934

Aliases

arxiv: 1504.06689 · arxiv_version: 1504.06689v3 · doi: 10.48550/arxiv.1504.06689 · pith_short_12: 6JNYSSS6N3GB · pith_short_16: 6JNYSSS6N3GBANA3 · pith_short_8: 6JNYSSS6

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/6JNYSSS6N3GBANA36VPUWXRIBM \
  | 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: f25b894a5e6ecc10341bf55f4b5e280b36e30a2bd75db85b999acf97d9a07934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a50ddff906065d6d2bb96fbd5baa77f1da323bccb6df2b5ea0fe55d91a807833",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-25T06:34:45Z",
    "title_canon_sha256": "7eaf5ccf1348b2eba2cae2c0fde4f1f9a3736d8a280cc24ac53713f150cfcab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06689",
    "kind": "arxiv",
    "version": 3
  }
}