Pith Number

pith:V6CEZBAX

pith:2026:V6CEZBAXPKVS3IJPQSIA2OWSGL

not attested not anchored not stored refs pending

Weak Quadruple Comparison and Structure Theory Beyond Alexandrov Geometry

Bang-Xian Han, Liming Yin

arxiv:2606.22777 v1 · 2026-06-22 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6CEZBAXPKVS3IJPQSIA2OWSGL}

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	2026-06-23T02:13:54.303014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af844c84177aab2da12f84900d3ad232c23e56226532c654eef2239ad53e4c28

Aliases

arxiv: 2606.22777 · arxiv_version: 2606.22777v1 · doi: 10.48550/arxiv.2606.22777 · pith_short_12: V6CEZBAXPKVS · pith_short_16: V6CEZBAXPKVS3IJP · pith_short_8: V6CEZBAX

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/V6CEZBAXPKVS3IJPQSIA2OWSGL \
  | 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: af844c84177aab2da12f84900d3ad232c23e56226532c654eef2239ad53e4c28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e65207245b371ec37457387adbb448fe4eeb7835a55edee4eff3e226b4fe94e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-06-22T02:35:03Z",
    "title_canon_sha256": "3f8ffdc874bf40df847c56d05c211d0859bd9f795723cb06de56ef3e4ca14d01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22777",
    "kind": "arxiv",
    "version": 1
  }
}