Pith Number

pith:7JDI5K4M

pith:2022:7JDI5K4MB7OYJ4JJMVIMIV7WOW

not attested not anchored not stored refs pending

Bounds on higher graph gonality

Cassandra Marcussen, Eyobel Gebre, Jason Meintjes, Lisa Cenek, Liz Ostermeyer, Lizzie Ferguson, Ralph Morrison, Shefali Ramakrishna

arxiv:2206.06907 v1 · 2022-06-14 · math.CO · 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{7JDI5K4MB7OYJ4JJMVIMIV7WOW}

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	2026-07-05T04:31:47.190351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa468eab8c0fdd84f1296550c457f675abac174c2d48936bb14de06419ba8bdb

Aliases

arxiv: 2206.06907 · arxiv_version: 2206.06907v1 · doi: 10.48550/arxiv.2206.06907 · pith_short_12: 7JDI5K4MB7OY · pith_short_16: 7JDI5K4MB7OYJ4JJ · pith_short_8: 7JDI5K4M

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/7JDI5K4MB7OYJ4JJMVIMIV7WOW \
  | 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: fa468eab8c0fdd84f1296550c457f675abac174c2d48936bb14de06419ba8bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26755d56161ee76f7742df1b90013ef9759093f6a24a172539f7308eecfac1ab",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-14T15:02:43Z",
    "title_canon_sha256": "b2fcbe82d863a1c2dc89f24439eb00cace26970658b09dc675ce88a645fecb63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.06907",
    "kind": "arxiv",
    "version": 1
  }
}