Pith Number

pith:IPAF7DM2

pith:2016:IPAF7DM2ABTFSM4VT5VL3WL7OD

not attested not anchored not stored refs pending

On sums of triangular numbers

Dmitry Krachun

arxiv:1602.01133 v1 · 2016-02-02 · 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{IPAF7DM2ABTFSM4VT5VL3WL7OD}

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	2026-05-18T01:21:23.519220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43c05f8d9a00665933959f6abdd97f70fe4ca7369ce83b95a6a2f1c793bd3286

Aliases

arxiv: 1602.01133 · arxiv_version: 1602.01133v1 · doi: 10.48550/arxiv.1602.01133 · pith_short_12: IPAF7DM2ABTF · pith_short_16: IPAF7DM2ABTFSM4V · pith_short_8: IPAF7DM2

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/IPAF7DM2ABTFSM4VT5VL3WL7OD \
  | 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: 43c05f8d9a00665933959f6abdd97f70fe4ca7369ce83b95a6a2f1c793bd3286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b19eacc39c522250f9e91f3ef405d03edf2b83596608e2dcc8eec7dcd80602d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-02T22:14:56Z",
    "title_canon_sha256": "ab1b3b7dfbd4f2ceb205eae1b0e6c2936e83659ee4209ad2726bcc0c013fb5e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01133",
    "kind": "arxiv",
    "version": 1
  }
}