Pith Number

pith:CE7P2JDV

pith:2016:CE7P2JDVWGLOWGBTIWPIOTIG33

not attested not anchored not stored refs pending

Monochromatic sums and products in $\mathbb{N}$

Joel Moreira

arxiv:1605.01469 v1 · 2016-05-05 · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CE7P2JDVWGLOWGBTIWPIOTIG33}

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	2026-05-18T01:15:33.616655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

113efd2475b196eb1833459e874d06dec9e99079a47acc232ed931b7305ab1a3

Aliases

arxiv: 1605.01469 · arxiv_version: 1605.01469v1 · doi: 10.48550/arxiv.1605.01469 · pith_short_12: CE7P2JDVWGLO · pith_short_16: CE7P2JDVWGLOWGBT · pith_short_8: CE7P2JDV

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/CE7P2JDVWGLOWGBTIWPIOTIG33 \
  | 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: 113efd2475b196eb1833459e874d06dec9e99079a47acc232ed931b7305ab1a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2309d8f69a72cd8df1d829592803430d0304a2fb8b70c5cc874e82e71941a69",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-05T01:40:44Z",
    "title_canon_sha256": "1f270f84c6547fde53d15586ca81a0e2f0dc118d8b2f44979d74532f674aa262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01469",
    "kind": "arxiv",
    "version": 1
  }
}