Pith Number

pith:XIUIMDEW

pith:2017:XIUIMDEWZR5N5A2PO6XWAX27FB

not attested not anchored not stored refs pending

Brill-Noether theory for curves of a fixed gonality

David Jensen, Dhruv Ranganathan

arxiv:1701.06579 v2 · 2017-01-23 · 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{XIUIMDEWZR5N5A2PO6XWAX27FB}

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.

Cited by

2 papers in Pith

Universal degeneracy classes for vector bundles on $\mathbb{P}^1$ bundles

The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$

Receipt and verification

First computed	2026-07-05T04:00:09.590475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba28860c96cc7ade834f77af605f5f2852e86831daf43a50c3a147c91bf8da2b

Aliases

arxiv: 1701.06579 · arxiv_version: 1701.06579v2 · doi: 10.48550/arxiv.1701.06579 · pith_short_12: XIUIMDEWZR5N · pith_short_16: XIUIMDEWZR5N5A2P · pith_short_8: XIUIMDEW

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/XIUIMDEWZR5N5A2PO6XWAX27FB \
  | 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: ba28860c96cc7ade834f77af605f5f2852e86831daf43a50c3a147c91bf8da2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac827b1d8f704381143b3f2aaebe10fe3201cf69405f1bb42f4b026955e345a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-23T19:00:07Z",
    "title_canon_sha256": "33a7df2ef809d2981b0e2c9cd37aca38a190019c73d1887d394fdeabe5fdc6c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06579",
    "kind": "arxiv",
    "version": 2
  }
}