Pith Number

pith:3BTUQ4LI

pith:2013:3BTUQ4LIEA4ZRQMUNU5T4LSE6W

not attested not anchored not stored refs pending

Non-emptiness of Brill-Noether loci in M(2,K)

Herbert Lange, Peter E. Newstead, Seong Suk Park

arxiv:1311.5007 v3 · 2013-11-20 · 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{3BTUQ4LIEA4ZRQMUNU5T4LSE6W}

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	2026-05-18T01:37:21.658782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d867487168203998c1946d3b3e2e44f5a7048d0d4d0fc4d49b2f44b1c2b01642

Aliases

arxiv: 1311.5007 · arxiv_version: 1311.5007v3 · doi: 10.48550/arxiv.1311.5007 · pith_short_12: 3BTUQ4LIEA4Z · pith_short_16: 3BTUQ4LIEA4ZRQMU · pith_short_8: 3BTUQ4LI

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/3BTUQ4LIEA4ZRQMUNU5T4LSE6W \
  | 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: d867487168203998c1946d3b3e2e44f5a7048d0d4d0fc4d49b2f44b1c2b01642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba110ac9fcc05d80bc4cb4fe92821c29a960190a3b7ea746a60b18f6b5667b67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-20T10:46:45Z",
    "title_canon_sha256": "c2dd3c46bb0350fdbcb79660d682886288a14dcf34f8eb9820a357b354c1b762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5007",
    "kind": "arxiv",
    "version": 3
  }
}