Pith Number

pith:6MMUIDTD

pith:2017:6MMUIDTDSFG2F4ZFZXOQNNTKDP

not attested not anchored not stored refs pending

Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory

Isaac Goldbring, Martino Lupini, Mauro Di Nasso

arxiv:1709.04076 v2 · 2017-09-12 · math.CO · math.LO · 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{6MMUIDTDSFG2F4ZFZXOQNNTKDP}

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	2026-05-18T00:07:50.567864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f319440e63914da2f325cddd06b66a1bd1e25349fea5ba6e699bf37aec08cc44

Aliases

arxiv: 1709.04076 · arxiv_version: 1709.04076v2 · doi: 10.48550/arxiv.1709.04076 · pith_short_12: 6MMUIDTDSFG2 · pith_short_16: 6MMUIDTDSFG2F4ZF · pith_short_8: 6MMUIDTD

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/6MMUIDTDSFG2F4ZFZXOQNNTKDP \
  | 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: f319440e63914da2f325cddd06b66a1bd1e25349fea5ba6e699bf37aec08cc44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a4ae1238509e4202f33f010b41113cda2c40bb9cb560e4d1045ce0313f6096c",
    "cross_cats_sorted": [
      "math.LO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-12T22:45:48Z",
    "title_canon_sha256": "09b78797c6415a02caa572d524f824b4471ad5db3b7b5fee85fd7d99a7e5e585"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04076",
    "kind": "arxiv",
    "version": 2
  }
}