Pith Number

pith:555KDO2F

pith:2018:555KDO2FMBVXPZPUDK6COOYSOQ

not attested not anchored not stored refs pending

Construction of elliptic $\mathfrak{p}$-units

Martin Hofer, Werner Bley

arxiv:1806.02244 v1 · 2018-06-06 · 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{555KDO2FMBVXPZPUDK6COOYSOQ}

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	2026-05-18T00:14:02.140788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7aa1bb45606b77e5f41abc273b1274371f512ded40d85597923eab94fc89d2

Aliases

arxiv: 1806.02244 · arxiv_version: 1806.02244v1 · doi: 10.48550/arxiv.1806.02244 · pith_short_12: 555KDO2FMBVX · pith_short_16: 555KDO2FMBVXPZPU · pith_short_8: 555KDO2F

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/555KDO2FMBVXPZPUDK6COOYSOQ \
  | 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: ef7aa1bb45606b77e5f41abc273b1274371f512ded40d85597923eab94fc89d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b07eb3f4daedd28618956954c8ad59524e181b1e551c80c55e1fa9a6a2d869e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-06T15:29:57Z",
    "title_canon_sha256": "6b18ac7b756465545da0f2070d73c4c764c58bdf67d69476f23c0255eeff5ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02244",
    "kind": "arxiv",
    "version": 1
  }
}