Pith Number

pith:WJ2JJQ55

pith:2019:WJ2JJQ555JRTV4PAO5VOTR5XHO

not attested not anchored not stored refs pending

Graph of even points on an arithmetic curve

Alfred Czoga{\l}a, Przemys{\l}aw Koprowski

arxiv:1904.12177 v1 · 2019-04-27 · 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{WJ2JJQ555JRTV4PAO5VOTR5XHO}

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	2026-05-17T23:47:38.761760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b27494c3bdea633af1e0776ae9c7b73b9163b12dedc5ae256ea788d7b53169a3

Aliases

arxiv: 1904.12177 · arxiv_version: 1904.12177v1 · doi: 10.48550/arxiv.1904.12177 · pith_short_12: WJ2JJQ555JRT · pith_short_16: WJ2JJQ555JRTV4PA · pith_short_8: WJ2JJQ55

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/WJ2JJQ555JRTV4PAO5VOTR5XHO \
  | 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: b27494c3bdea633af1e0776ae9c7b73b9163b12dedc5ae256ea788d7b53169a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db8ccec89f13f0abb9d56bb3d601e347499321ff8b1b642a250ab4d83ae39161",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-27T16:41:52Z",
    "title_canon_sha256": "9c6b4a3b64733d74b7b5c2d85ea25de4ef7f960b5ba7e63c171630f394fb7a8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12177",
    "kind": "arxiv",
    "version": 1
  }
}