Pith Number

pith:BEZL3ZP6

pith:2016:BEZL3ZP6BAEOXKYTKQNYZR5OKC

not attested not anchored not stored refs pending

Pliability, or the whitney extension theorem for curves in carnot groups

GECO), Mario Sigalotti (CMAP, Nicolas Juillet (IRMA)

arxiv:1603.02639 v4 · 2016-03-08 · math.MG · math.GR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEZL3ZP6BAEOXKYTKQNYZR5OKC}

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	2026-05-18T00:20:59.681938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0932bde5fe0808ebab13541b8cc7ae509abf5f0e4a432531e09c0fe6ecd97caf

Aliases

arxiv: 1603.02639 · arxiv_version: 1603.02639v4 · doi: 10.48550/arxiv.1603.02639 · pith_short_12: BEZL3ZP6BAEO · pith_short_16: BEZL3ZP6BAEOXKYT · pith_short_8: BEZL3ZP6

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/BEZL3ZP6BAEOXKYTKQNYZR5OKC \
  | 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: 0932bde5fe0808ebab13541b8cc7ae509abf5f0e4a432531e09c0fe6ecd97caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93ba26f2b4db2f07223c22abf400d16d5b4cfdeceebe272be76702679829de34",
    "cross_cats_sorted": [
      "math.GR",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-03-08T19:43:02Z",
    "title_canon_sha256": "70d7401a7077842eda3a835447c2523c0a6972f47a07b1a795e26aa178491a18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02639",
    "kind": "arxiv",
    "version": 4
  }
}