Pith Number

pith:D72ZBLKU

pith:2019:D72ZBLKU3O4EYLS2MQJMN27CTI

not attested not anchored not stored refs pending

An introduction to $\Gamma$-number fields

Guillermo Mantilla-Soler

arxiv:1908.02318 v1 · 2019-08-06 · 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{D72ZBLKU3O4EYLS2MQJMN27CTI}

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	2026-07-04T23:52:07.425498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ff590ad54dbb84c2e5a6412c6ebe29a28882a6384cbb2f3a91bf7d980a9371f

Aliases

arxiv: 1908.02318 · arxiv_version: 1908.02318v1 · doi: 10.48550/arxiv.1908.02318 · pith_short_12: D72ZBLKU3O4E · pith_short_16: D72ZBLKU3O4EYLS2 · pith_short_8: D72ZBLKU

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/D72ZBLKU3O4EYLS2MQJMN27CTI \
  | 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: 1ff590ad54dbb84c2e5a6412c6ebe29a28882a6384cbb2f3a91bf7d980a9371f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20aadabe63f44cb465282e4b879d41153950246c75f213d3231701e81d2ec639",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-06T18:36:30Z",
    "title_canon_sha256": "83a27275a94662da8da5b6853d80954b36bddc747db390cfe8d582f217074981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02318",
    "kind": "arxiv",
    "version": 1
  }
}