Pith Number

pith:ECEB6AFV

pith:2024:ECEB6AFVEPJZDCUSGF2WEKR3GS

not attested not anchored not stored refs pending

An Analytical Exploration of the Erd\"os-Moser Equation $ \sum_{i=1}^{m-1} i^k = m^k $ Using Approximation Methods

Guillaume Lambard

arxiv:2411.13146 v3 · 2024-11-20 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECEB6AFVEPJZDCUSGF2WEKR3GS}

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	2026-07-05T10:47:33.569578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20881f00b523d3918a923175622a3b3483347136564b91638ca642c030fb9e8f

Aliases

arxiv: 2411.13146 · arxiv_version: 2411.13146v3 · doi: 10.48550/arxiv.2411.13146 · pith_short_12: ECEB6AFVEPJZ · pith_short_16: ECEB6AFVEPJZDCUS · pith_short_8: ECEB6AFV

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/ECEB6AFVEPJZDCUSGF2WEKR3GS \
  | 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: 20881f00b523d3918a923175622a3b3483347136564b91638ca642c030fb9e8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1e303bc442bcc00d2945e4e651574b8ff0cd25f78e596756f19534d7fa1cda",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-20T09:20:40Z",
    "title_canon_sha256": "9e4582a210bfd4d42d8b215385bd3cde2d372abb8c28164056771d9067691e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13146",
    "kind": "arxiv",
    "version": 3
  }
}