Pith Number

pith:DNQYVWRX

pith:2019:DNQYVWRX6NCJYKZUINDAK7MR4H

not attested not anchored not stored refs pending

On triangular numbers, forms of mixed type and their representation numbers

B. Ramakrishnan, Lalit Vaishya

arxiv:1904.06369 v3 · 2019-04-12 · 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{DNQYVWRX6NCJYKZUINDAK7MR4H}

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	2026-05-17T23:42:41.824729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b618ada37f3449c2b344346057d91e1e43a5e53c37c40698ed407aa14d62573

Aliases

arxiv: 1904.06369 · arxiv_version: 1904.06369v3 · doi: 10.48550/arxiv.1904.06369 · pith_short_12: DNQYVWRX6NCJ · pith_short_16: DNQYVWRX6NCJYKZU · pith_short_8: DNQYVWRX

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/DNQYVWRX6NCJYKZUINDAK7MR4H \
  | 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: 1b618ada37f3449c2b344346057d91e1e43a5e53c37c40698ed407aa14d62573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2cefb4f3981336290b7df8c9e095dd38768bc300befd212d73ff42e0b44c9f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-12T18:27:09Z",
    "title_canon_sha256": "37fd0487741fbb3fe9d145952fab4a40d1aa4c6698cbcc9bfe163de612a851dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06369",
    "kind": "arxiv",
    "version": 3
  }
}