Pith Number

pith:DLW42GRD

pith:2012:DLW42GRDZHRS335LPXX2J3SOA5

not attested not anchored not stored refs pending

T1 theorem on product Carnot-Caratheodory spaces

Chin-Cheng Lin, Ji Li, Yongsheng Han

arxiv:1209.6236 v1 · 2012-09-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DLW42GRDZHRS335LPXX2J3SOA5}

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	2026-05-18T03:44:34.909742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aedcd1a23c9e32defab7defa4ee4e07672332ec1bd4fce2e2b0759f086138c8

Aliases

arxiv: 1209.6236 · arxiv_version: 1209.6236v1 · doi: 10.48550/arxiv.1209.6236 · pith_short_12: DLW42GRDZHRS · pith_short_16: DLW42GRDZHRS335L · pith_short_8: DLW42GRD

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/DLW42GRDZHRS335LPXX2J3SOA5 \
  | 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: 1aedcd1a23c9e32defab7defa4ee4e07672332ec1bd4fce2e2b0759f086138c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db3a827875e982d3153b0ffd17b4adb911e030caaa9b10af5e0fc5975ad8ce1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-27T14:09:30Z",
    "title_canon_sha256": "944400a4908baf2eeb38631f83dd74270a7dab9ce19c4deb6bc43e1611b5febb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6236",
    "kind": "arxiv",
    "version": 1
  }
}