Pith Number

pith:FKRY5B3W

pith:2013:FKRY5B3W7K4S5ORC3C4ONKTGFH

not attested not anchored not stored refs pending

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

H. Lange, P. E. Newstead, V. Strehl

arxiv:1312.1844 v4 · 2013-12-06 · 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{FKRY5B3W7K4S5ORC3C4ONKTGFH}

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	2026-05-18T01:30:15.691340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa38e8776fab92eba22d8b8e6aa6629cdd98a59c7f97aa77728ac7c5e3ae9c7

Aliases

arxiv: 1312.1844 · arxiv_version: 1312.1844v4 · doi: 10.48550/arxiv.1312.1844 · pith_short_12: FKRY5B3W7K4S · pith_short_16: FKRY5B3W7K4S5ORC · pith_short_8: FKRY5B3W

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/FKRY5B3W7K4S5ORC3C4ONKTGFH \
  | 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: 2aa38e8776fab92eba22d8b8e6aa6629cdd98a59c7f97aa77728ac7c5e3ae9c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b327c39055e24ccbb7ecac2f27887112415b5ba769ff450d827bc073332442",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-06T12:45:06Z",
    "title_canon_sha256": "339c62657b6cefda062b25a6d737bc6979582ed2600b79c87f27c9754da46be9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1844",
    "kind": "arxiv",
    "version": 4
  }
}