Pith Number

pith:F4HZYHX4

pith:2019:F4HZYHX4RLSRBMQHXW43B5E3NO

not attested not anchored not stored refs pending

The Shape of cyclic number fields

Guillermo Mantilla-Soler, Wilmar Bola\~nos

arxiv:1912.07054 v2 · 2019-12-15 · 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{F4HZYHX4RLSRBMQHXW43B5E3NO}

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	2026-07-05T04:14:21.986137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f0f9c1efc8ae510b207bdb9b0f49b6b8d74737513155f0b9b34f9cefb928367

Aliases

arxiv: 1912.07054 · arxiv_version: 1912.07054v2 · doi: 10.48550/arxiv.1912.07054 · pith_short_12: F4HZYHX4RLSR · pith_short_16: F4HZYHX4RLSRBMQH · pith_short_8: F4HZYHX4

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/F4HZYHX4RLSRBMQHXW43B5E3NO \
  | 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: 2f0f9c1efc8ae510b207bdb9b0f49b6b8d74737513155f0b9b34f9cefb928367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d3640905cab73b831fe7e0e6076892151e6eab22d9321d6d1ba8afbb3de2cc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-12-15T15:10:40Z",
    "title_canon_sha256": "1f15c0726d4dbeb3270b451a33306e26cca0eb1fce513b9589d7a1d45d661820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07054",
    "kind": "arxiv",
    "version": 2
  }
}