Pith Number

pith:VTQCF52D

pith:2017:VTQCF52DTXUCXZXD7XDX3D4YY4

not attested not anchored not stored refs pending

On the structure of elliptic curves over finite extensions of $\mathbb{Q}_p$ with additive reduction

Michiel Kosters, Ren\'e Pannekoek

arxiv:1703.07888 v1 · 2017-03-22 · math.AG · 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{VTQCF52DTXUCXZXD7XDX3D4YY4}

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	2026-05-18T00:48:04.523505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace022f7439de82be6e3fdc77d8f98c72b24522f03c29304bb2c9994676b63b0

Aliases

arxiv: 1703.07888 · arxiv_version: 1703.07888v1 · doi: 10.48550/arxiv.1703.07888 · pith_short_12: VTQCF52DTXUC · pith_short_16: VTQCF52DTXUCXZXD · pith_short_8: VTQCF52D

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/VTQCF52DTXUCXZXD7XDX3D4YY4 \
  | 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: ace022f7439de82be6e3fdc77d8f98c72b24522f03c29304bb2c9994676b63b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1781f16314bebda5598c8ef4b44ee78ba64086fe6882038d705717278b238644",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-22T23:51:38Z",
    "title_canon_sha256": "f7b3ebce1045574f8fd9931c39e02a95e94cd2aa3a9f4d9153800f801a93d2bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07888",
    "kind": "arxiv",
    "version": 1
  }
}