Pith Number

pith:HDDUT3SI

pith:2016:HDDUT3SICZROJIJDGUUHREMRRR

not attested not anchored not stored refs pending

Number Fields in Fibers: the Geometrically Abelian Case with Rational Critical Values

Florian Luca, Yuri Bilu

arxiv:1606.09164 v3 · 2016-06-29 · 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{HDDUT3SICZROJIJDGUUHREMRRR}

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	2026-05-18T01:02:22.043420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38c749ee481662e4a12335287891918c6543f2ed6cb9986e1cb348757d0f424d

Aliases

arxiv: 1606.09164 · arxiv_version: 1606.09164v3 · doi: 10.48550/arxiv.1606.09164 · pith_short_12: HDDUT3SICZRO · pith_short_16: HDDUT3SICZROJIJD · pith_short_8: HDDUT3SI

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/HDDUT3SICZROJIJDGUUHREMRRR \
  | 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: 38c749ee481662e4a12335287891918c6543f2ed6cb9986e1cb348757d0f424d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7b4674b27f58e788b09ba713ab4d7c942f30ec218a60ac674f9db16790031ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-29T15:53:35Z",
    "title_canon_sha256": "1ad0c94dd8860b23df4cfa96bde5722df2333862eab6406f298470e0bc88adc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09164",
    "kind": "arxiv",
    "version": 3
  }
}