Pith Number

pith:QPGVQ4LE

pith:2013:QPGVQ4LEQZYTL7GU5HQ335QHMC

not attested not anchored not stored refs pending

Lehmer's totient problem over $\mathbb{F}_q[x]$

Hourong Qin, Qingzhong Ji

arxiv:1312.3107 v3 · 2013-12-11 · 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{QPGVQ4LEQZYTL7GU5HQ335QHMC}

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	2026-05-18T00:54:58.388150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83cd587164867135fcd4e9e1bdf60760919accb1c1adca8755bb5d22a5e36e8a

Aliases

arxiv: 1312.3107 · arxiv_version: 1312.3107v3 · doi: 10.48550/arxiv.1312.3107 · pith_short_12: QPGVQ4LEQZYT · pith_short_16: QPGVQ4LEQZYTL7GU · pith_short_8: QPGVQ4LE

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/QPGVQ4LEQZYTL7GU5HQ335QHMC \
  | 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: 83cd587164867135fcd4e9e1bdf60760919accb1c1adca8755bb5d22a5e36e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90f091539723ff34d5da6957ef85cba49508d701d258255ac18acb92ec6aaa6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-11T10:35:01Z",
    "title_canon_sha256": "16077b5643bb5b08d786f519ca02973a51c3e5862da0afdf14f6ff7694656702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3107",
    "kind": "arxiv",
    "version": 3
  }
}