Pith Number

pith:3LGRREFN

pith:2013:3LGRREFNYG66H3ZZW57G5BZK3F

not attested not anchored not stored refs pending

Mukai's program for curves on a K3 surface

Andrea Bruno, Edoardo Sernesi, Enrico Arbarello

arxiv:1309.0496 v3 · 2013-09-02 · 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{3LGRREFNYG66H3ZZW57G5BZK3F}

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	2026-05-18T01:20:50.809836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dacd1890adc1bde3ef39b77e6e872ad94d3b79ed9064b0839e3f89aff599e22a

Aliases

arxiv: 1309.0496 · arxiv_version: 1309.0496v3 · doi: 10.48550/arxiv.1309.0496 · pith_short_12: 3LGRREFNYG66 · pith_short_16: 3LGRREFNYG66H3ZZ · pith_short_8: 3LGRREFN

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/3LGRREFNYG66H3ZZW57G5BZK3F \
  | 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: dacd1890adc1bde3ef39b77e6e872ad94d3b79ed9064b0839e3f89aff599e22a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4196fad38d0fb885d379309df04d833a22d822428bfbec2ae14a165cbbacb5fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-02T19:50:15Z",
    "title_canon_sha256": "18f3131f5b5befac68b2df434c1f523590fdeadb3a1ccd3cf3d912eff89c2c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0496",
    "kind": "arxiv",
    "version": 3
  }
}