Pith Number

pith:ITE7WI4J

pith:2018:ITE7WI4JK5UAH33TKX6PML3JRT

not attested not anchored not stored refs pending

Certain quaternary quadratic forms of level 48 and their representation numbers

Anup Kumar Singh, B. Ramakrishnan, Brundaban Sahu

arxiv:1801.04392 v1 · 2018-01-13 · 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{ITE7WI4JK5UAH33TKX6PML3JRT}

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	2026-05-18T00:26:06.602144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44c9fb2389576803ef7355fcf62f698cd5ff4c6b8ed80365c99428d2e35866fd

Aliases

arxiv: 1801.04392 · arxiv_version: 1801.04392v1 · doi: 10.48550/arxiv.1801.04392 · pith_short_12: ITE7WI4JK5UA · pith_short_16: ITE7WI4JK5UAH33T · pith_short_8: ITE7WI4J

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/ITE7WI4JK5UAH33TKX6PML3JRT \
  | 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: 44c9fb2389576803ef7355fcf62f698cd5ff4c6b8ed80365c99428d2e35866fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c037bb40b1a123c7d07254c42358000ec13132d0ec187bca3ee97015e7f7ef67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-13T07:37:12Z",
    "title_canon_sha256": "1f9e9e50bd1b5ca3412523a3f3354a3b596b88572b072bf83ddef1b49f63928f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04392",
    "kind": "arxiv",
    "version": 1
  }
}