Pith Number

pith:A57E6M4P

pith:2018:A57E6M4PNWUOE5GR3VSAMC34EE

not attested not anchored not stored refs pending

Congruences modulo powers of 3 for 2-color partition triples

Dazhao Tang

arxiv:1805.08942 v1 · 2018-05-23 · 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{A57E6M4PNWUOE5GR3VSAMC34EE}

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	2026-05-18T00:15:09.003341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

077e4f338f6da8e274d1dd64060b7c2118898b198408518a720988c120f5ec98

Aliases

arxiv: 1805.08942 · arxiv_version: 1805.08942v1 · doi: 10.48550/arxiv.1805.08942 · pith_short_12: A57E6M4PNWUO · pith_short_16: A57E6M4PNWUOE5GR · pith_short_8: A57E6M4P

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/A57E6M4PNWUOE5GR3VSAMC34EE \
  | 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: 077e4f338f6da8e274d1dd64060b7c2118898b198408518a720988c120f5ec98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e57cf7b1c79121c847e80ee9d61b1de619fc372e8b20a76c4929fa19e41c9487",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-23T03:07:21Z",
    "title_canon_sha256": "2f8876a9f3e9d5b3dcc56a8705a43278112ed00343926015f474f3c53257c593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08942",
    "kind": "arxiv",
    "version": 1
  }
}