Pith Number

pith:ABTOREU5

pith:2018:ABTOREU5YXJARV3TWEBEDHEQUL

not attested not anchored not stored refs pending

Explicit arithmetic intersection theory and computation of N\'eron-Tate heights

David Holmes, J. Steffen M\"uller, Raymond van Bommel

arxiv:1809.06791 v2 · 2018-09-18 · 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{ABTOREU5YXJARV3TWEBEDHEQUL}

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	2026-05-17T23:49:33.371034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0066e8929dc5d208d773b102419c90a2fc6a7e96d0a34a4c87600022b5780e0d

Aliases

arxiv: 1809.06791 · arxiv_version: 1809.06791v2 · doi: 10.48550/arxiv.1809.06791 · pith_short_12: ABTOREU5YXJA · pith_short_16: ABTOREU5YXJARV3T · pith_short_8: ABTOREU5

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/ABTOREU5YXJARV3TWEBEDHEQUL \
  | 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: 0066e8929dc5d208d773b102419c90a2fc6a7e96d0a34a4c87600022b5780e0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3ef3e1bc653c651c68ed2a5a80c1265bb3edcb932b65289a9a9d483a42d47fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-18T15:17:46Z",
    "title_canon_sha256": "3fb43c6eb8b129cf0b5593fe131e6c85f7facb2b672701c8a92aae0acd94f788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06791",
    "kind": "arxiv",
    "version": 2
  }
}