Pith Number

pith:M3DT3YCF

pith:2017:M3DT3YCFOJCZHWVUGGZRIFWMPH

not attested not anchored not stored refs pending

Representations of an integer by some quaternary and octonary quadratic forms

Anup Kumar Singh, B. Ramakrishnan, Brundaban Sahu

arxiv:1708.04266 v1 · 2017-08-05 · 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{M3DT3YCFOJCZHWVUGGZRIFWMPH}

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	2026-05-18T00:37:59.839901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c73de045724593dab431b31416cc79c65f37bde5ff5cd0c4bacc9483fb9537

Aliases

arxiv: 1708.04266 · arxiv_version: 1708.04266v1 · doi: 10.48550/arxiv.1708.04266 · pith_short_12: M3DT3YCFOJCZ · pith_short_16: M3DT3YCFOJCZHWVU · pith_short_8: M3DT3YCF

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/M3DT3YCFOJCZHWVUGGZRIFWMPH \
  | 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: 66c73de045724593dab431b31416cc79c65f37bde5ff5cd0c4bacc9483fb9537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000cc8e55d7e8b2acc34ddb961e9eeb55c78876adc9a2f9adae19c838f6223b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-05T06:11:55Z",
    "title_canon_sha256": "c397d27b13b0603aa71fb58e3b7d1e745545f2b678b3a3e2b850e874686f4b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04266",
    "kind": "arxiv",
    "version": 1
  }
}