Pith Number

pith:NIL3ANGN

pith:2006:NIL3ANGNG7QTZLPKFV7NFG7A4U

not attested not anchored not stored refs pending

Determination of the two-color Rado number for $a_1x_1+...+a_mx_m=x_0$

Song Guo, Zhi-Wei Sun

arxiv:math/0601409 v5 · 2006-01-17 · math.CO · 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{NIL3ANGNG7QTZLPKFV7NFG7A4U}

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	2026-07-04T15:06:27.082349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a17b034cd37e13cadea2d7ed29be0e50d37dc29ffcd93085f141dc61c80affb

Aliases

arxiv: math/0601409 · arxiv_version: math/0601409v5 · doi: 10.48550/arxiv.math/0601409 · pith_short_12: NIL3ANGNG7QT · pith_short_16: NIL3ANGNG7QTZLPK · pith_short_8: NIL3ANGN

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/NIL3ANGNG7QTZLPKFV7NFG7A4U \
  | 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: 6a17b034cd37e13cadea2d7ed29be0e50d37dc29ffcd93085f141dc61c80affb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20b0bda3715c94c7c855fcee3e8acf4dbeee725b060b5652ffb0ef495103177e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-01-17T19:57:13Z",
    "title_canon_sha256": "951133405dff48501e93fa45f538704be342646e090c94c9000aaa0525a40c76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601409",
    "kind": "arxiv",
    "version": 5
  }
}