Pith Number

pith:MSVN3S2K

pith:2026:MSVN3S2KGIWMCGRAZE7DA7CM3A

not attested not anchored not stored refs pending

On periods of Elliptic curves

Daniel Barrera Salaza, Juan-Pablo Llerena-C\'ordova

arxiv:2606.02254 v1 · 2026-06-01 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSVN3S2KGIWMCGRAZE7DA7CM3A}

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	2026-06-02T03:04:54.253662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64aaddcb4a322cc11a20c93e307c4cd818e83d67ca9f91bf0dc2c6bba1bd6c4c

Aliases

arxiv: 2606.02254 · arxiv_version: 2606.02254v1 · doi: 10.48550/arxiv.2606.02254 · pith_short_12: MSVN3S2KGIWM · pith_short_16: MSVN3S2KGIWMCGRA · pith_short_8: MSVN3S2K

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/MSVN3S2KGIWMCGRAZE7DA7CM3A \
  | 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: 64aaddcb4a322cc11a20c93e307c4cd818e83d67ca9f91bf0dc2c6bba1bd6c4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a3048a713b3ffb95053186f96cc4b5294c272e68e335d42f666e9ff624e4c54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-01T13:42:52Z",
    "title_canon_sha256": "6484c7d61ed4af41ebd2c534a00625979ac356788c1b75a0620db5c4c1584aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02254",
    "kind": "arxiv",
    "version": 1
  }
}