Pith Number

pith:EMRSXHZO

pith:2015:EMRSXHZOTTSFW4B2CRNPHNKJIQ

not attested not anchored not stored refs pending

Computing Canonical Heights on Elliptic Curves in Quasi-Linear Time

J. Steffen M\"uller, Michael Stoll

arxiv:1509.08748 v2 · 2015-09-29 · 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{EMRSXHZOTTSFW4B2CRNPHNKJIQ}

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	2026-05-17T23:53:34.387559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23232b9f2e9ce45b703a145af3b549443624604d9283c89bdbd76a24205aa7a0

Aliases

arxiv: 1509.08748 · arxiv_version: 1509.08748v2 · doi: 10.48550/arxiv.1509.08748 · pith_short_12: EMRSXHZOTTSF · pith_short_16: EMRSXHZOTTSFW4B2 · pith_short_8: EMRSXHZO

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/EMRSXHZOTTSFW4B2CRNPHNKJIQ \
  | 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: 23232b9f2e9ce45b703a145af3b549443624604d9283c89bdbd76a24205aa7a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b044fe33f3c898970ee331cf0fed33736855243fe8fb27a6ea8d780e9a16b99a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-29T13:47:35Z",
    "title_canon_sha256": "299e7273c1fedc1363e18a044f8cb2eb921f07d282a8d84a5aea79da2b7f7f2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08748",
    "kind": "arxiv",
    "version": 2
  }
}