Pith Number

pith:M7LOKVBD

pith:2012:M7LOKVBDCI2XA2LOG4TKH4T7JZ

not attested not anchored not stored refs pending

Jacobsthal sums, Legendre polynomials and binary quadratic forms

Zhi-Hong Sun

arxiv:1202.1237 v3 · 2012-02-06 · 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{M7LOKVBDCI2XA2LOG4TKH4T7JZ}

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	2026-05-18T04:02:26.707423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67d6e55423123570696e3726a3f27f4e50b9bcd565b2642e875e8e42422f344e

Aliases

arxiv: 1202.1237 · arxiv_version: 1202.1237v3 · doi: 10.48550/arxiv.1202.1237 · pith_short_12: M7LOKVBDCI2X · pith_short_16: M7LOKVBDCI2XA2LO · pith_short_8: M7LOKVBD

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/M7LOKVBDCI2XA2LOG4TKH4T7JZ \
  | 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: 67d6e55423123570696e3726a3f27f4e50b9bcd565b2642e875e8e42422f344e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f70742ff946017cf68fa54492c7b7ba483cd7eaf2e31e998d532392611b97cd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-06T18:41:27Z",
    "title_canon_sha256": "0e65d3f6c77cb35e57b1dfc7ff217ed7081e0d83ba55cc8b5fc0a03283d5ec20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1237",
    "kind": "arxiv",
    "version": 3
  }
}