Pith Number

pith:VUBMYBU2

pith:2013:VUBMYBU2OAPHN4VEDGBR62EBGB

not attested not anchored not stored refs pending

Whitney extension operators without loss of derivatives

Enrique Jord\'a, Jochen Wengenroth, Leonhard Frerick

arxiv:1304.2928 v2 · 2013-04-10 · 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{VUBMYBU2OAPHN4VEDGBR62EBGB}

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	2026-05-18T03:15:34.221673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad02cc069a701e76f2a419831f6881306d9d453505a87fe94950227a2c9c34cc

Aliases

arxiv: 1304.2928 · arxiv_version: 1304.2928v2 · doi: 10.48550/arxiv.1304.2928 · pith_short_12: VUBMYBU2OAPH · pith_short_16: VUBMYBU2OAPHN4VE · pith_short_8: VUBMYBU2

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/VUBMYBU2OAPHN4VEDGBR62EBGB \
  | 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: ad02cc069a701e76f2a419831f6881306d9d453505a87fe94950227a2c9c34cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf7cd35e89628a17d973d6bcdcaed7049ccc86177913f9bf90925e61ed93688d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-04-10T12:24:42Z",
    "title_canon_sha256": "5af03cefc2dd333fe85770655d7340b3ae3745844264561436b93b1ed6d344b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2928",
    "kind": "arxiv",
    "version": 2
  }
}