Pith Number

pith:ETOHFDRQ

pith:2015:ETOHFDRQ2TI7R5BLYTBHIHOB5P

not attested not anchored not stored refs pending

Polyhedral geometry, supercranks, and combinatorial witnesses of congruences for partitions into three parts

Brandt Kronholm, Dennis Eichhorn, Felix Breuer

arxiv:1508.00397 v1 · 2015-08-03 · 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{ETOHFDRQ2TI7R5BLYTBHIHOB5P}

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	2026-05-18T01:35:58.213010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24dc728e30d4d1f8f42bc4c2741dc1ebc938e5ae9d8bb9758dd67e535ba862c9

Aliases

arxiv: 1508.00397 · arxiv_version: 1508.00397v1 · doi: 10.48550/arxiv.1508.00397 · pith_short_12: ETOHFDRQ2TI7 · pith_short_16: ETOHFDRQ2TI7R5BL · pith_short_8: ETOHFDRQ

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/ETOHFDRQ2TI7R5BLYTBHIHOB5P \
  | 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: 24dc728e30d4d1f8f42bc4c2741dc1ebc938e5ae9d8bb9758dd67e535ba862c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9d2a97c5839c6289356d6a8a328d8a481bd066ca977f899a49af1c8f610e964",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-03T12:26:10Z",
    "title_canon_sha256": "7291e1cc5fc23f52b6b6d3afd192fc2d1722a7cc5d7945f6cc2ec901d4696ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00397",
    "kind": "arxiv",
    "version": 1
  }
}