Pith Number

pith:XVCIUMVK

pith:2016:XVCIUMVKBLBU7PBLRD3EI4V4EG

not attested not anchored not stored refs pending

Heegner points at Eisenstein primes and twists of elliptic curves

Chao Li, Daniel Kriz

arxiv:1609.06687 v3 · 2016-09-21 · 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{XVCIUMVKBLBU7PBLRD3EI4V4EG}

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	2026-05-18T00:29:31.399909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd448a32aa0ac34fbc2b88f64472bc219a028f1df3665956d13e4b3d4fca2998

Aliases

arxiv: 1609.06687 · arxiv_version: 1609.06687v3 · doi: 10.48550/arxiv.1609.06687 · pith_short_12: XVCIUMVKBLBU · pith_short_16: XVCIUMVKBLBU7PBL · pith_short_8: XVCIUMVK

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/XVCIUMVKBLBU7PBLRD3EI4V4EG \
  | 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: bd448a32aa0ac34fbc2b88f64472bc219a028f1df3665956d13e4b3d4fca2998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2551e9b0068a81bb551f8a54a9e69f1b5ca915ddb52a99c86a8dfd717ce0fdf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-21T19:08:55Z",
    "title_canon_sha256": "5421823ecd21c9db4c14f7a450bfa4893033cc6ebcf9655590114a71d0493b3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06687",
    "kind": "arxiv",
    "version": 3
  }
}