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Pith Number

pith:6WIETLB6

pith:2013:6WIETLB6QZS7EH3WS27E4MG2JS
not attested not anchored not stored refs pending

Brill-Noether with ramification at unassigned points

Gavril Farkas

arxiv:1301.5673 v1 · 2013-01-23 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6WIETLB6QZS7EH3WS27E4MG2JS}

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 2026-05-18T03:10:11.919204Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f59049ac3e8665f21f7696be4e30da4c9578f9788ce0380c7b2b6a870680f298

Aliases

arxiv: 1301.5673 · arxiv_version: 1301.5673v1 · doi: 10.48550/arxiv.1301.5673 · pith_short_12: 6WIETLB6QZS7 · pith_short_16: 6WIETLB6QZS7EH3W · pith_short_8: 6WIETLB6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6WIETLB6QZS7EH3WS27E4MG2JS \
  | 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: f59049ac3e8665f21f7696be4e30da4c9578f9788ce0380c7b2b6a870680f298
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d6c3eb457a65d9677fbab52398bae822708714b6b23619755513976e0a633494",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-23T23:43:39Z",
    "title_canon_sha256": "be461e882c7940e7793c3904cc6c4afcd9e7dbf831f97b37dc1b583a7621715a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5673",
    "kind": "arxiv",
    "version": 1
  }
}