Pith Number

pith:PZQAK52T

pith:2011:PZQAK52TDGLZYSMQJ6Q6E6XARG

not attested not anchored not stored refs pending

A Geometrical Way to Sum Powers by Means of Tetrahedrons and Eulerian Numbers

Mario Barra

arxiv:1103.4288 v1 · 2011-03-21 · math.HO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZQAK52TDGLZYSMQJ6Q6E6XARG}

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	2026-05-18T04:26:21.253578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e6005775319979c49904fa1e27ae089a50f65b890588cd62c3a63eb767e25ae

Aliases

arxiv: 1103.4288 · arxiv_version: 1103.4288v1 · doi: 10.48550/arxiv.1103.4288 · pith_short_12: PZQAK52TDGLZ · pith_short_16: PZQAK52TDGLZYSMQ · pith_short_8: PZQAK52T

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/PZQAK52TDGLZYSMQJ6Q6E6XARG \
  | 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: 7e6005775319979c49904fa1e27ae089a50f65b890588cd62c3a63eb767e25ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2211082e9fa543ba9c8c90405ebcbe6fadd9c70de6d2b0c4fa1db0f694cf6c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2011-03-21T17:15:00Z",
    "title_canon_sha256": "f95c61f97d0b2a7e7f2e0a6a4cf4f7beb8ca656fef30e18045e60e88ea3e822f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4288",
    "kind": "arxiv",
    "version": 1
  }
}