Pith Number

pith:VU35XVZD

pith:2025:VU35XVZD5G756AGTHF4LBJDJDT

not attested not anchored not stored refs pending

Refined Brill-Noether Theory for Complete Graphs

David Jensen, Ella Norris, Eric Burkholder, Haruku Aono, Ketsile Dikobe, Owen Craig

arxiv:2501.06083 v1 · 2025-01-10 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VU35XVZD5G756AGTHF4LBJDJDT}

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	2026-07-05T09:59:33.076521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad37dbd723e9bfdf00d33978b0a4691ccd93945497aaf69227d5563c959a0bcf

Aliases

arxiv: 2501.06083 · arxiv_version: 2501.06083v1 · doi: 10.48550/arxiv.2501.06083 · pith_short_12: VU35XVZD5G75 · pith_short_16: VU35XVZD5G756AGT · pith_short_8: VU35XVZD

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/VU35XVZD5G756AGTHF4LBJDJDT \
  | 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: ad37dbd723e9bfdf00d33978b0a4691ccd93945497aaf69227d5563c959a0bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d17d6e9e0d8c2b1b2f61b0c3d9d0903f0bc2d707125bc8de56ec3520da7282df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-10T16:24:19Z",
    "title_canon_sha256": "18211151a62f4af38edd01faf3b3e09b1100872f50caab9b85034c752197cd53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06083",
    "kind": "arxiv",
    "version": 1
  }
}