Pith Number

pith:ZNQ7PJTW

pith:2014:ZNQ7PJTWMPLOMEFBXD72S4NBKR

not attested not anchored not stored refs pending

Ramification of Compatible Systems on Curves and Independence of $\ell$

Chris Hall

arxiv:1406.3389 v3 · 2014-06-12 · 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{ZNQ7PJTWMPLOMEFBXD72S4NBKR}

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	2026-05-18T00:46:22.710341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb61f7a67663d6e610a1b8ffa971a15447181f3660fb3b2a537813b0673c88e1

Aliases

arxiv: 1406.3389 · arxiv_version: 1406.3389v3 · doi: 10.48550/arxiv.1406.3389 · pith_short_12: ZNQ7PJTWMPLO · pith_short_16: ZNQ7PJTWMPLOMEFB · pith_short_8: ZNQ7PJTW

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/ZNQ7PJTWMPLOMEFBXD72S4NBKR \
  | 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: cb61f7a67663d6e610a1b8ffa971a15447181f3660fb3b2a537813b0673c88e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc06d04a96009c5b936d83340f72b24d39b3ef0839f0ec25a76d36952a5b3df3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-12T23:37:14Z",
    "title_canon_sha256": "7249b4ef060c658647e0d00d93c923fb6eb3d7e753a607a7334b60ef4f765ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3389",
    "kind": "arxiv",
    "version": 3
  }
}