Pith Number

pith:GM46QTFG

pith:2016:GM46QTFGU5UNSSEU4WQMGZLRS5

not attested not anchored not stored refs pending

Flip-connectivity of triangulations of the product of a tetrahedron and simplex

Gaku Liu

arxiv:1601.06031 v1 · 2016-01-22 · 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{GM46QTFGU5UNSSEU4WQMGZLRS5}

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	2026-05-18T01:22:09.507818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3339e84ca6a768d94894e5a0c36571977c7fd5442d93b1a0517cb770712dfe30

Aliases

arxiv: 1601.06031 · arxiv_version: 1601.06031v1 · doi: 10.48550/arxiv.1601.06031 · pith_short_12: GM46QTFGU5UN · pith_short_16: GM46QTFGU5UNSSEU · pith_short_8: GM46QTFG

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/GM46QTFGU5UNSSEU4WQMGZLRS5 \
  | 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: 3339e84ca6a768d94894e5a0c36571977c7fd5442d93b1a0517cb770712dfe30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0afd7c79f9b1f0a1270050a3daa4a3014405d038496583b5a03bc4f4747dd0d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-22T15:01:32Z",
    "title_canon_sha256": "1ee3b1445c1c090703c8fc7526f774e23f8a1b0239283f53ea4c9bb21509646d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06031",
    "kind": "arxiv",
    "version": 1
  }
}