Pith Number

pith:YUZ5NVV2

pith:2016:YUZ5NVV2VVVQM6IFRDORL75R6N

not attested not anchored not stored refs pending

On representing coordinates of points on elliptic curves by quadratic forms

Andrew Bremner, Maciej Ulas

arxiv:1601.04838 v2 · 2016-01-19 · 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{YUZ5NVV2VVVQM6IFRDORL75R6N}

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	2026-05-18T00:49:34.766008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c533d6d6baad6b06790588dd15ffb1f35eca098dff895935ee243b4dbcd003ea

Aliases

arxiv: 1601.04838 · arxiv_version: 1601.04838v2 · doi: 10.48550/arxiv.1601.04838 · pith_short_12: YUZ5NVV2VVVQ · pith_short_16: YUZ5NVV2VVVQM6IF · pith_short_8: YUZ5NVV2

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/YUZ5NVV2VVVQM6IFRDORL75R6N \
  | 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: c533d6d6baad6b06790588dd15ffb1f35eca098dff895935ee243b4dbcd003ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bef7e0ea0d538dba1e60c87fd60c560a7a46b2cf61ec73646fac705f9b68f48b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-19T09:34:02Z",
    "title_canon_sha256": "08646247f9844c90ad5bc44400205bace9512b165779d441df2c373fb82e6f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04838",
    "kind": "arxiv",
    "version": 2
  }
}