Pith Number

pith:WW46D3WG

pith:2017:WW46D3WG5KWICN7A3JSGIX2XKY

not attested not anchored not stored refs pending

Constructing elliptic curves from Galois representations

Andrew Snowden, Jacob Tsimerman

arxiv:1708.02656 v1 · 2017-08-08 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW46D3WG5KWICN7A3JSGIX2XKY}

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	2026-05-17T23:53:12.684558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b9e1eec6eaac8137e0da64645f575614b3f87b457f3269d3bef47b12f3e4b9

Aliases

arxiv: 1708.02656 · arxiv_version: 1708.02656v1 · doi: 10.48550/arxiv.1708.02656 · pith_short_12: WW46D3WG5KWI · pith_short_16: WW46D3WG5KWICN7A · pith_short_8: WW46D3WG

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/WW46D3WG5KWICN7A3JSGIX2XKY \
  | 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: b5b9e1eec6eaac8137e0da64645f575614b3f87b457f3269d3bef47b12f3e4b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98e0ab905a6961040f5885ce3a375256a762bac8bb27bcf9b37d9074f283314d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-08T21:20:17Z",
    "title_canon_sha256": "eac2980e655a7149190d813c073a1e9484ac8f40d4059d906490e3c6752ec369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02656",
    "kind": "arxiv",
    "version": 1
  }
}