Pith Number

pith:JEL2WLA5

pith:2026:JEL2WLA5NW3I3ULTJNR2CUBKCY

not attested not anchored not stored refs pending

Isogeny graphs of elliptic curves in characteristic zero

Alexander J. Barrios, Enrique Gonz\'alez-Jim\'enez, Ivan Novak

arxiv:2608.02494 v1 · 2026-08-03 · math.NT · 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{JEL2WLA5NW3I3ULTJNR2CUBKCY}

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	2026-08-04T02:43:47.758140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4917ab2c1d6db68dd1734b63a1502a1619ba4b99f8d78733e6b1f9e04d47bef5

Aliases

arxiv: 2608.02494 · arxiv_version: 2608.02494v1 · doi: 10.48550/arxiv.2608.02494 · pith_short_12: JEL2WLA5NW3I · pith_short_16: JEL2WLA5NW3I3ULT · pith_short_8: JEL2WLA5

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/JEL2WLA5NW3I3ULTJNR2CUBKCY \
  | 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: 4917ab2c1d6db68dd1734b63a1502a1619ba4b99f8d78733e6b1f9e04d47bef5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82ec014ab40283ad389a6aab540abc8c1a88f7fd9a283ce2505b01ee2d70bec4",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-03T16:59:45Z",
    "title_canon_sha256": "3e9def984c91c00f7ee5b245c107f99e07fa658900a3d9f6f92a20622ce0bce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02494",
    "kind": "arxiv",
    "version": 1
  }
}