Pith Number

pith:4WIMUHT6

pith:2016:4WIMUHT6NHW3645TMJMVI2ACO7

not attested not anchored not stored refs pending

On Erd\H{o}s and S\'ark\"ozy's sequences with Property P

Christian Elsholtz, Stefan Planitzer

arxiv:1609.07935 v1 · 2016-09-26 · 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{4WIMUHT6NHW3645TMJMVI2ACO7}

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.

Cited by

1 paper in Pith

Advancing Mathematics Research with AI-Driven Formal Proof Search

Receipt and verification

First computed	2026-05-18T00:38:42.073994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e590ca1e7e69edbf73b3625954680277c8a0ca6c406c9bdd987474e054739dda

Aliases

arxiv: 1609.07935 · arxiv_version: 1609.07935v1 · doi: 10.48550/arxiv.1609.07935 · pith_short_12: 4WIMUHT6NHW3 · pith_short_16: 4WIMUHT6NHW3645T · pith_short_8: 4WIMUHT6

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/4WIMUHT6NHW3645TMJMVI2ACO7 \
  | 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: e590ca1e7e69edbf73b3625954680277c8a0ca6c406c9bdd987474e054739dda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40f6cfc9139708c6f7abe81f0ba620dd6839970316f7007211530eb2741c45f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-26T11:51:16Z",
    "title_canon_sha256": "cf41c03a7b43be34f6dfcd41e24516596355953b30d512f64e75e0d26c975b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07935",
    "kind": "arxiv",
    "version": 1
  }
}