Pith Number

pith:PV3NDPCQ

pith:2008:PV3NDPCQ6YXMSSO77AQRTME2HB

not attested not anchored not stored refs pending

Bounds on ternary cyclotomic coefficients

Bartlomiej Bzdega

arxiv:0812.4024 v1 · 2008-12-21 · 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{PV3NDPCQ6YXMSSO77AQRTME2HB}

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	2026-05-18T02:15:04.127064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d76d1bc50f62ec949dff82119b09a3863af1f7025c50841baba9621470ec7f0

Aliases

arxiv: 0812.4024 · arxiv_version: 0812.4024v1 · doi: 10.48550/arxiv.0812.4024 · pith_short_12: PV3NDPCQ6YXM · pith_short_16: PV3NDPCQ6YXMSSO7 · pith_short_8: PV3NDPCQ

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/PV3NDPCQ6YXMSSO77AQRTME2HB \
  | 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: 7d76d1bc50f62ec949dff82119b09a3863af1f7025c50841baba9621470ec7f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ee7280da2d3721101488f5b7d3121996d84e50ffb80dadd84dba88018590951",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-12-21T13:42:57Z",
    "title_canon_sha256": "54c85dd76f103639ecf99d11d376a51447798b1464bb37ce68c2d2f8dcd9fdec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4024",
    "kind": "arxiv",
    "version": 1
  }
}