Pith Number

pith:CCSBHXCF

pith:2020:CCSBHXCFVM5XTET5D3CC4LZ77C

not attested not anchored not stored refs pending

Geometric Invariants of Recursive Group Orbit Stratification

Xiping Zhang

arxiv:2009.09362 v5 · 2020-09-20 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCSBHXCFVM5XTET5D3CC4LZ77C}

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	2026-07-05T02:38:30.320364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a413dc45ab3b79927d1ec42e2f3ff8a0d6ffd8d302681de5e9cd4f50f62bcd

Aliases

arxiv: 2009.09362 · arxiv_version: 2009.09362v5 · doi: 10.48550/arxiv.2009.09362 · pith_short_12: CCSBHXCFVM5X · pith_short_16: CCSBHXCFVM5XTET5 · pith_short_8: CCSBHXCF

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/CCSBHXCFVM5XTET5D3CC4LZ77C \
  | 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: 10a413dc45ab3b79927d1ec42e2f3ff8a0d6ffd8d302681de5e9cd4f50f62bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d03734732529f9c9781073759f61d028c1f5bbb47541a4d736604858389ae27",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-09-20T06:21:56Z",
    "title_canon_sha256": "7049012a9b78193690eb4b9ba0fcf1f053ea30b0cd854f39c32cb97bb9e007f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.09362",
    "kind": "arxiv",
    "version": 5
  }
}