Pith Number

pith:I7U6KDY2

pith:2012:I7U6KDY2WG2E74KCFFLCQXSNZG

not attested not anchored not stored refs pending

Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces

Sergey Basalaev, Sergey Vodopyanov

arxiv:1206.5197 v3 · 2012-06-22 · 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{I7U6KDY2WG2E74KCFFLCQXSNZG}

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	2026-05-18T03:12:57.975325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e9e50f1ab1b44ff1422956285e4dc98277dafa02bf06ab4493436f10658215

Aliases

arxiv: 1206.5197 · arxiv_version: 1206.5197v3 · doi: 10.48550/arxiv.1206.5197 · pith_short_12: I7U6KDY2WG2E · pith_short_16: I7U6KDY2WG2E74KC · pith_short_8: I7U6KDY2

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/I7U6KDY2WG2E74KCFFLCQXSNZG \
  | 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: 47e9e50f1ab1b44ff1422956285e4dc98277dafa02bf06ab4493436f10658215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c0ec2aa6732090ca9174014cff41d6832e844486ac4f14e0c2e933257bfebc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-06-22T16:25:29Z",
    "title_canon_sha256": "de9d33b764be44235ff5ca0107804137658be34fe73099ba542ff927c8f8b971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5197",
    "kind": "arxiv",
    "version": 3
  }
}