Pith Number

pith:7QLMALEU

pith:2012:7QLMALEUZT2HIUUU474EUM4AXX

not attested not anchored not stored refs pending

Asymptotics of conductors of elliptic curves over Q

Kirti Joshi, Sean Howe

arxiv:1201.4566 v2 · 2012-01-22 · 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{7QLMALEUZT2HIUUU474EUM4AXX}

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	2026-05-18T01:32:58.108917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc16c02c94ccf4745294e7f84a3380bdf41a86f68a0cfc23625fdca9c0e7ba6e

Aliases

arxiv: 1201.4566 · arxiv_version: 1201.4566v2 · doi: 10.48550/arxiv.1201.4566 · pith_short_12: 7QLMALEUZT2H · pith_short_16: 7QLMALEUZT2HIUUU · pith_short_8: 7QLMALEU

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/7QLMALEUZT2HIUUU474EUM4AXX \
  | 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: fc16c02c94ccf4745294e7f84a3380bdf41a86f68a0cfc23625fdca9c0e7ba6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3a8e1ac695b5eb12d8a2077628d4956620480962918738465fe46611cc06d4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-22T15:59:52Z",
    "title_canon_sha256": "dc26c5d13afcb63c0017a911d736b4fe8df3659b02d61a6f46cd5b08c98e3b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4566",
    "kind": "arxiv",
    "version": 2
  }
}