Pith Number

pith:63BHTTPX

pith:2012:63BHTTPXQ4H6GFQFPHJDPVKVPS

not attested not anchored not stored refs pending

Brill-Noether general curves on Knutsen K3 surfaces

Maxim Arap, Nicholas Marshburn

arxiv:1208.4957 v1 · 2012-08-24 · 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{63BHTTPXQ4H6GFQFPHJDPVKVPS}

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	2026-05-18T03:47:52.167774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c279cdf7870fe3160579d237d5557c8399a66188200fae2fc4edbbfff9c244

Aliases

arxiv: 1208.4957 · arxiv_version: 1208.4957v1 · doi: 10.48550/arxiv.1208.4957 · pith_short_12: 63BHTTPXQ4H6 · pith_short_16: 63BHTTPXQ4H6GFQF · pith_short_8: 63BHTTPX

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/63BHTTPXQ4H6GFQFPHJDPVKVPS \
  | 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: f6c279cdf7870fe3160579d237d5557c8399a66188200fae2fc4edbbfff9c244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3dca38a75db856e6e53b85ad3bc4e582772a70b2d13bd7820fb88d25232f0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-24T12:17:46Z",
    "title_canon_sha256": "29f18811930ae1409d4697758daf19a9f879ab23efb68b1ba572b92407074855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4957",
    "kind": "arxiv",
    "version": 1
  }
}