Pith Number

pith:YXLPYSGS

pith:2012:YXLPYSGSVGKD4FY4YH42GF6PBA

not attested not anchored not stored refs pending

On Whitney-type characterization of approximate differentiability on metric measure spaces

Estibalitz Durand-Cartagena, Lizaveta Ihnatsyeva, Marta Szuma\'nska, Riikka Korte

arxiv:1207.5958 v1 · 2012-07-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXLPYSGSVGKD4FY4YH42GF6PBA}

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	2026-05-18T03:50:09.831558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d6fc48d2a9943e171cc1f9a317cf081d5d0343433e4fc93c5e87e3353d3c6c

Aliases

arxiv: 1207.5958 · arxiv_version: 1207.5958v1 · doi: 10.48550/arxiv.1207.5958 · pith_short_12: YXLPYSGSVGKD · pith_short_16: YXLPYSGSVGKD4FY4 · pith_short_8: YXLPYSGS

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/YXLPYSGSVGKD4FY4YH42GF6PBA \
  | 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: c5d6fc48d2a9943e171cc1f9a317cf081d5d0343433e4fc93c5e87e3353d3c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "688270fe7fddcd136c3dea58547b46bd4d2fef7378082654683795dd82f66922",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-25T11:36:00Z",
    "title_canon_sha256": "c6f3427ce05ca2bb2d9ef888d2a46f6e782f9780e3184d3ed4379640876c4bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5958",
    "kind": "arxiv",
    "version": 1
  }
}