Pith Number

pith:M57TS2R4

pith:2016:M57TS2R4AJBCC2IXBZUCPNUFNR

not attested not anchored not stored refs pending

Lusin approximation for horizontal curves in step 2 Carnot groups

Enrico Le Donne, Gareth Speight

arxiv:1602.02607 v1 · 2016-02-08 · math.MG · math.DG · 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{M57TS2R4AJBCC2IXBZUCPNUFNR}

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	2026-05-18T01:21:09.361873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

677f396a3c02422169170e6827b6856c71a342a4b223b4792f15e0ce4bd356a7

Aliases

arxiv: 1602.02607 · arxiv_version: 1602.02607v1 · doi: 10.48550/arxiv.1602.02607 · pith_short_12: M57TS2R4AJBC · pith_short_16: M57TS2R4AJBCC2IX · pith_short_8: M57TS2R4

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/M57TS2R4AJBCC2IXBZUCPNUFNR \
  | 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: 677f396a3c02422169170e6827b6856c71a342a4b223b4792f15e0ce4bd356a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da6f8e0f88682bc879e9626960eb7f79a1748c4aa421299dbf1a73269a0afd71",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-02-08T15:24:28Z",
    "title_canon_sha256": "5b710939f343d58ed8f611669c8ea340bec55e5d52dab4c152197439bb6b38eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02607",
    "kind": "arxiv",
    "version": 1
  }
}