Pith Number

pith:GHDBPSW6

pith:2009:GHDBPSW6KLNXVQDZ5IJC57OFOS

not attested not anchored not stored refs pending

The Erd\H{o}s--Moser equation $1^k+2^k+...+(m-1)^k=m^k$ revisited using continued fractions

Australia), France), Germany), NSW, Pieter Moree (Bonn, Wadim Zudilin (Newcastle, Yves Gallot (Toulouse

arxiv:0907.1356 v1 · 2009-07-08 · math.NT · math.CA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHDBPSW6KLNXVQDZ5IJC57OFOS}

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	2026-05-18T04:27:47.871497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c617cade52db7ac079ea122efdc574bf57456c3754a6ff404b590e1ce3df4e

Aliases

arxiv: 0907.1356 · arxiv_version: 0907.1356v1 · doi: 10.48550/arxiv.0907.1356 · pith_short_12: GHDBPSW6KLNX · pith_short_16: GHDBPSW6KLNXVQDZ · pith_short_8: GHDBPSW6

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/GHDBPSW6KLNXVQDZ5IJC57OFOS \
  | 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: 31c617cade52db7ac079ea122efdc574bf57456c3754a6ff404b590e1ce3df4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e3ab3d69a1bcd8e506b2bacce8416e37cf172ec70addef83be30403080ebf6",
    "cross_cats_sorted": [
      "math.CA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-08T08:26:19Z",
    "title_canon_sha256": "b38897632d24d97a729d36644608f547d12c2492f05e5ddfa9e289b5be542b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1356",
    "kind": "arxiv",
    "version": 1
  }
}