Pith Number

pith:Y4SHN6WE

pith:2025:Y4SHN6WERBPMZHN72MX4KGWYHC

not attested not anchored not stored refs pending

Boundedness of average rank of elliptic curves ordered by the coefficients

Fatemehzahra Janbazi

arxiv:2506.07089 v1 · 2025-06-08 · 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{Y4SHN6WERBPMZHN72MX4KGWYHC}

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	2026-07-05T11:18:01.074942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c72476fac4885ecc9dbfd32fc51ad838a1f43927fa85544817b843b65739d0e0

Aliases

arxiv: 2506.07089 · arxiv_version: 2506.07089v1 · doi: 10.48550/arxiv.2506.07089 · pith_short_12: Y4SHN6WERBPM · pith_short_16: Y4SHN6WERBPMZHN7 · pith_short_8: Y4SHN6WE

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/Y4SHN6WERBPMZHN72MX4KGWYHC \
  | 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: c72476fac4885ecc9dbfd32fc51ad838a1f43927fa85544817b843b65739d0e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "853e6de7816a30fce0285f40c582d225b79235f97ef337604581fc3331370e9f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-08T11:26:35Z",
    "title_canon_sha256": "997c32a442c3f2fc5f7cfb53f28e28d67d582743060c2bff55eee061ed8f7405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07089",
    "kind": "arxiv",
    "version": 1
  }
}