Pith Number

pith:EFD6ULLK

pith:2025:EFD6ULLKU5O7FPOOYWLP5IIJZH

not attested not anchored not stored refs pending

Brill--Noether loci in genus $\leq 12$

Richard Haburcak

arxiv:2507.04902 v2 · 2025-07-07 · 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{EFD6ULLKU5O7FPOOYWLP5IIJZH}

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	2026-07-05T11:39:13.104003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2147ea2d6aa75df2bdcec596fea109c9f98789c4af168d6cf3b19ee8c61632eb

Aliases

arxiv: 2507.04902 · arxiv_version: 2507.04902v2 · doi: 10.48550/arxiv.2507.04902 · pith_short_12: EFD6ULLKU5O7 · pith_short_16: EFD6ULLKU5O7FPOO · pith_short_8: EFD6ULLK

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/EFD6ULLKU5O7FPOOYWLP5IIJZH \
  | 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: 2147ea2d6aa75df2bdcec596fea109c9f98789c4af168d6cf3b19ee8c61632eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0d86029b9ae7b5074d9a4cd160f627d68403a21eb182a8a497098c7f2e2f0c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-07T11:40:22Z",
    "title_canon_sha256": "5902de92b537758c51c2869f507a68eba320a8a0cb5a1ceaf841fdb0542c5682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04902",
    "kind": "arxiv",
    "version": 2
  }
}