Pith Number

pith:GYJHUNZ3

pith:2015:GYJHUNZ3IYEPHJRYAGDLFRQOTL

not attested not anchored not stored refs pending

An improved upper bound for the Erd\H{o}s-Szekeres conjecture

Georgios Vlachos, Hossein Nassajian Mojarrad

arxiv:1510.06255 v2 · 2015-10-21 · 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{GYJHUNZ3IYEPHJRYAGDLFRQOTL}

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

Combinatorial Geometry of Erd\H{o}s--Szekeres Type Problems: SAT/ASP Modeling and Linear Subreduction

Receipt and verification

First computed	2026-05-18T01:15:38.527112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36127a373b4608f3a6380186b2c60e9ae7fb16efc9be312b0f038c693f0425e8

Aliases

arxiv: 1510.06255 · arxiv_version: 1510.06255v2 · doi: 10.48550/arxiv.1510.06255 · pith_short_12: GYJHUNZ3IYEP · pith_short_16: GYJHUNZ3IYEPHJRY · pith_short_8: GYJHUNZ3

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/GYJHUNZ3IYEPHJRYAGDLFRQOTL \
  | 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: 36127a373b4608f3a6380186b2c60e9ae7fb16efc9be312b0f038c693f0425e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9ad70136dba4b64719d805d0d5f4960f2cb9249b923a39cb52bb026bdb6735",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-21T13:59:45Z",
    "title_canon_sha256": "991618c302aad7032013db02c382ac3afbf78b707e39b9cfed036001e864d22d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06255",
    "kind": "arxiv",
    "version": 2
  }
}