Pith Number

pith:6NYEXJIX

pith:2026:6NYEXJIXJOF442M2MBDI3XMZW4

not attested not anchored not stored refs pending

Elliptic matroids and modular curves

Matthew Baker

arxiv:2608.05299 v1 · 2026-08-05 · math.AG · 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{6NYEXJIXJOF442M2MBDI3XMZW4}

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	2026-08-07T00:46:54.848906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3704ba5174b8bce699a60468ddd99b71c51071a34386f108b91d3ed5b6c7ec1

Aliases

arxiv: 2608.05299 · arxiv_version: 2608.05299v1 · doi: 10.48550/arxiv.2608.05299 · pith_short_12: 6NYEXJIXJOF4 · pith_short_16: 6NYEXJIXJOF442M2 · pith_short_8: 6NYEXJIX

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/6NYEXJIXJOF442M2MBDI3XMZW4 \
  | 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: f3704ba5174b8bce699a60468ddd99b71c51071a34386f108b91d3ed5b6c7ec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f7dc6459abf6513b784f0d849a3c78e1c2d91c823f3bf3dcc9c1d1b6202b072",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-05T18:00:38Z",
    "title_canon_sha256": "2c6fd9426e8d3efa78fe5f53d2f99ed513bcd0d695d7e79e32b2aca0d7a7f168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05299",
    "kind": "arxiv",
    "version": 1
  }
}