Pith Number

pith:TI6HHS3F

pith:2016:TI6HHS3F53NMODZIW2WNRWN3X3

not attested not anchored not stored refs pending

Polytopes and large counterexamples

Per Alexandersson

arxiv:1609.00647 v2 · 2016-09-02 · 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{TI6HHS3F53NMODZIW2WNRWN3X3}

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	2026-05-18T00:05:00.811894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a3c73cb65eedac70f28b6acd8d9bbbeede7d84a36e1857007a5e48a9c6457a3

Aliases

arxiv: 1609.00647 · arxiv_version: 1609.00647v2 · doi: 10.48550/arxiv.1609.00647 · pith_short_12: TI6HHS3F53NM · pith_short_16: TI6HHS3F53NMODZI · pith_short_8: TI6HHS3F

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/TI6HHS3F53NMODZIW2WNRWN3X3 \
  | 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: 9a3c73cb65eedac70f28b6acd8d9bbbeede7d84a36e1857007a5e48a9c6457a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "def2f6838e327b09a033a594baa3173a07496800511c14675946fb3a1a99e7be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-02T15:42:47Z",
    "title_canon_sha256": "4820f49346d0ea2d127beffeb657c23d0fd008e8121fd2d5cd1d69bdf18065a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00647",
    "kind": "arxiv",
    "version": 2
  }
}