Pith Number

pith:IJY54IXW

pith:2019:IJY54IXWCJR4KLBPVPPVCKFNBE

not attested not anchored not stored refs pending

The trace form over cyclic number fields

Guillermo Mantilla-Soler, Wilmar Bola\~nos

arxiv:1904.10080 v3 · 2019-04-22 · 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{IJY54IXWCJR4KLBPVPPVCKFNBE}

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	2026-07-05T06:22:51.052278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4271de22f61263c52c2fabdf5128ad090050ac11667d51c18e9dda0ae70eff3d

Aliases

arxiv: 1904.10080 · arxiv_version: 1904.10080v3 · doi: 10.48550/arxiv.1904.10080 · pith_short_12: IJY54IXWCJR4 · pith_short_16: IJY54IXWCJR4KLBP · pith_short_8: IJY54IXW

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/IJY54IXWCJR4KLBPVPPVCKFNBE \
  | 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: 4271de22f61263c52c2fabdf5128ad090050ac11667d51c18e9dda0ae70eff3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a561213461c58aaa2ec5733fa3b519c41ca8f7ec1025dfff317bd838d40dfaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-22T22:26:58Z",
    "title_canon_sha256": "155c8341fc869bc90f14b48d5dd6e7d9b97700b3d07ada8f13f631cb5b2cdb84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10080",
    "kind": "arxiv",
    "version": 3
  }
}