Pith Number

pith:4IORDINB

pith:2026:4IORDINBHHLXP7JIS3NMX56MOB

not attested not anchored not stored refs pending

On a two-color partition series and its companions

George E. Andrews, Mohamed El Bachraoui

arxiv:2606.30208 v1 · 2026-06-29 · 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{4IORDINBHHLXP7JIS3NMX56MOB}

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	2026-06-30T02:17:54.188736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e21d11a1a139d777fd2896dacbf7cc704042c3fc30ff914f73aca135c075ebd4

Aliases

arxiv: 2606.30208 · arxiv_version: 2606.30208v1 · doi: 10.48550/arxiv.2606.30208 · pith_short_12: 4IORDINBHHLX · pith_short_16: 4IORDINBHHLXP7JI · pith_short_8: 4IORDINB

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/4IORDINBHHLXP7JIS3NMX56MOB \
  | 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: e21d11a1a139d777fd2896dacbf7cc704042c3fc30ff914f73aca135c075ebd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dcab4a6843a5b53282d42c97e1068d87f48cbf7ce5921f17b77ec436232a6cf",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-29T12:24:14Z",
    "title_canon_sha256": "5a99b13857673d3c6785791f26166b75f0c20f14339330e72f2a3160ca91fa81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30208",
    "kind": "arxiv",
    "version": 1
  }
}