Pith Number

pith:TTDKP4KQ

pith:2013:TTDKP4KQV3JAX77FYATTIZ4BT4

not attested not anchored not stored refs pending

On counterexamples to a conjecture of Wills and Ehrhart polynomials whose roots have equal real parts

Matthias Henze

arxiv:1309.0725 v1 · 2013-09-03 · math.CO · math.MG

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

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	2026-05-18T03:14:18.201572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cc6a7f150aed20bffe5c0273467819f34d1e7d8304dc18087a3a3e36704686d

Aliases

arxiv: 1309.0725 · arxiv_version: 1309.0725v1 · doi: 10.48550/arxiv.1309.0725 · pith_short_12: TTDKP4KQV3JA · pith_short_16: TTDKP4KQV3JAX77F · pith_short_8: TTDKP4KQ

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/TTDKP4KQV3JAX77FYATTIZ4BT4 \
  | 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: 9cc6a7f150aed20bffe5c0273467819f34d1e7d8304dc18087a3a3e36704686d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d0ad789c253d51b2990ffc19054a492a8ef7dbe2c6c150c36f49450f406650",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-03T15:31:52Z",
    "title_canon_sha256": "93cbb0fb5b47c0e44060a0469429ff5b49ebdd29093d9ab965d707f9d3d0375a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0725",
    "kind": "arxiv",
    "version": 1
  }
}