Pith Number

pith:EZAE43RZ

pith:2016:EZAE43RZA6V6IBKSGZYWBFCH5E

not attested not anchored not stored refs pending

Extension complexity and realization spaces of hypersimplices

Arnau Padrol, Francesco Grande, Raman Sanyal

arxiv:1601.02416 v2 · 2016-01-11 · math.MG · 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{EZAE43RZA6V6IBKSGZYWBFCH5E}

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	2026-05-18T00:50:01.689743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26404e6e3907abe405523671609447e91fff6cda57b6907d316fafd1c7044366

Aliases

arxiv: 1601.02416 · arxiv_version: 1601.02416v2 · doi: 10.48550/arxiv.1601.02416 · pith_short_12: EZAE43RZA6V6 · pith_short_16: EZAE43RZA6V6IBKS · pith_short_8: EZAE43RZ

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/EZAE43RZA6V6IBKSGZYWBFCH5E \
  | 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: 26404e6e3907abe405523671609447e91fff6cda57b6907d316fafd1c7044366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc26450b077918da3c74f62b669e4f25861fad1dada57b92120bad93ad42cb41",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-01-11T12:18:37Z",
    "title_canon_sha256": "52204e8178e8df9b407e29ae966e94fe782ee8b78469777f85b20ab2c67d0d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02416",
    "kind": "arxiv",
    "version": 2
  }
}