Pith Number

pith:NVKBQIFR

pith:2013:NVKBQIFRTOBBMONBJSH46JXA3K

not attested not anchored not stored refs pending

Jumps of ternary cyclotomic coefficients

Bartlomiej Bzdega

arxiv:1301.7174 v1 · 2013-01-30 · 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{NVKBQIFRTOBBMONBJSH46JXA3K}

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	2026-05-18T02:47:51.020692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d541820b19b821639a14c8fcf26e0daad26a04830873529d82127befe9a3639

Aliases

arxiv: 1301.7174 · arxiv_version: 1301.7174v1 · doi: 10.48550/arxiv.1301.7174 · pith_short_12: NVKBQIFRTOBB · pith_short_16: NVKBQIFRTOBBMONB · pith_short_8: NVKBQIFR

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/NVKBQIFRTOBBMONBJSH46JXA3K \
  | 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: 6d541820b19b821639a14c8fcf26e0daad26a04830873529d82127befe9a3639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a40404b5affc26158c43537eaa0837a35cbc4b1d8ed0827ecc5725a08da01e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-30T09:27:31Z",
    "title_canon_sha256": "7251ba015339606fb2630bc21fe9d7d1425c59a57df33b25d9fd63595ed42e35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7174",
    "kind": "arxiv",
    "version": 1
  }
}