Pith Number

pith:YNQKZ6W4

pith:2011:YNQKZ6W4ST4KRASWBYWAA7BPED

not attested not anchored not stored refs pending

Brauer-Siegel for Arithmetic Tori and lower bounds for Galois orbits of special points

Jacob Tsimerman

arxiv:1103.5619 v3 · 2011-03-29 · 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{YNQKZ6W4ST4KRASWBYWAA7BPED}

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	2026-05-18T04:20:12.800957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c360acfadc94f8a882560e2c007c2f20d06815f902a383cd79e7d3c7da32c094

Aliases

arxiv: 1103.5619 · arxiv_version: 1103.5619v3 · doi: 10.48550/arxiv.1103.5619 · pith_short_12: YNQKZ6W4ST4K · pith_short_16: YNQKZ6W4ST4KRASW · pith_short_8: YNQKZ6W4

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/YNQKZ6W4ST4KRASWBYWAA7BPED \
  | 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: c360acfadc94f8a882560e2c007c2f20d06815f902a383cd79e7d3c7da32c094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93ad5b6f3125831a88467b77433ff1625d5d839152f7a8f57209c90c5dcb96ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-29T12:21:13Z",
    "title_canon_sha256": "4675abd937b16a0e832dfbe4db5cebdf59a01d04d9517bc0eda54e21eaf639cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5619",
    "kind": "arxiv",
    "version": 3
  }
}