Pith Number

pith:EFRNBINF

pith:2013:EFRNBINFBQKNM5UHB26D7TS6MK

not attested not anchored not stored refs pending

Algebraic $S$-integers of fixed degree and bounded height

Fabrizio Barroero

arxiv:1309.7849 v3 · 2013-09-30 · 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{EFRNBINFBQKNM5UHB26D7TS6MK}

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	2026-05-18T02:43:02.526756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2162d0a1a50c14d676870ebc3fce5e62aba6c61233d3c0ad0cacea0f1c9bd79f

Aliases

arxiv: 1309.7849 · arxiv_version: 1309.7849v3 · doi: 10.48550/arxiv.1309.7849 · pith_short_12: EFRNBINFBQKN · pith_short_16: EFRNBINFBQKNM5UH · pith_short_8: EFRNBINF

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/EFRNBINFBQKNM5UHB26D7TS6MK \
  | 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: 2162d0a1a50c14d676870ebc3fce5e62aba6c61233d3c0ad0cacea0f1c9bd79f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5303eed97656c8c744d877af31e89b0df1f903892b9bb6e0274250b0a8a1ded4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-30T14:10:47Z",
    "title_canon_sha256": "42e410c9efce2134f5cb29030ad7c1fbd2795a2269c530c18479fdec9c3bbcb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7849",
    "kind": "arxiv",
    "version": 3
  }
}