Pith Number

pith:AOSNLSM5

pith:2011:AOSNLSM5GSENBCRNMEUCCQXCXC

not attested not anchored not stored refs pending

On families of n-congruent elliptic curves

Tom Fisher

arxiv:1105.1706 v1 · 2011-05-09 · 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{AOSNLSM5GSENBCRNMEUCCQXCXC}

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	2026-05-18T04:22:32.652151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03a4d5c99d3488d08a2d61282142e2b8bfecff48bde561a2793f7d9129933d4c

Aliases

arxiv: 1105.1706 · arxiv_version: 1105.1706v1 · doi: 10.48550/arxiv.1105.1706 · pith_short_12: AOSNLSM5GSEN · pith_short_16: AOSNLSM5GSENBCRN · pith_short_8: AOSNLSM5

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/AOSNLSM5GSENBCRNMEUCCQXCXC \
  | 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: 03a4d5c99d3488d08a2d61282142e2b8bfecff48bde561a2793f7d9129933d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d0b7dd7497c1499b15f708d5d09a629513b21edc272221bfe29b6a9b70b7ed1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-09T15:54:48Z",
    "title_canon_sha256": "87bfbc892a33a7192cebbe94f09fdbf282858a14fdf96e08f2411d91ffe58714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1706",
    "kind": "arxiv",
    "version": 1
  }
}