Pith Number

pith:M6O4FAZD

pith:2016:M6O4FAZDCD5C7B6VQUCDIHT6CT

not attested not anchored not stored refs pending

A zonotope and a product of two simplices with disconnected flip graphs

Gaku Liu

arxiv:1605.02366 v1 · 2016-05-08 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6O4FAZDCD5C7B6VQUCDIHT6CT}

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	2026-05-18T01:15:21.173148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

679dc2832310fa2f87d58504341e7e14e9caaa918ddb237e94f40ee2be068c3f

Aliases

arxiv: 1605.02366 · arxiv_version: 1605.02366v1 · doi: 10.48550/arxiv.1605.02366 · pith_short_12: M6O4FAZDCD5C · pith_short_16: M6O4FAZDCD5C7B6V · pith_short_8: M6O4FAZD

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/M6O4FAZDCD5C7B6VQUCDIHT6CT \
  | 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: 679dc2832310fa2f87d58504341e7e14e9caaa918ddb237e94f40ee2be068c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d09b810b3543adffd25fd4c237afec457e553a837acb75cc732a5eddaff1266a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-08T20:46:34Z",
    "title_canon_sha256": "bb601101c26810cbc3dff4fed4cf8d86298e68d80c9189ebedab6ecbe98eb5dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02366",
    "kind": "arxiv",
    "version": 1
  }
}