Pith Number

pith:N4TA3UB4

pith:2017:N4TA3UB4G6L7YLSDQZZCPDZEOV

not attested not anchored not stored refs pending

Boundary rectifiability and elliptic operators with $W^{1,1}$ coefficients

Tatiana Toro, Zihui Zhao

arxiv:1708.00539 v2 · 2017-08-01 · math.AP · 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{N4TA3UB4G6L7YLSDQZZCPDZEOV}

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	2026-05-18T00:32:08.091906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f260dd03c3797fc2e438672278f24754557b7849cfd6c9b80524e4bb2cf4115

Aliases

arxiv: 1708.00539 · arxiv_version: 1708.00539v2 · doi: 10.48550/arxiv.1708.00539 · pith_short_12: N4TA3UB4G6L7 · pith_short_16: N4TA3UB4G6L7YLSD · pith_short_8: N4TA3UB4

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/N4TA3UB4G6L7YLSDQZZCPDZEOV \
  | 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: 6f260dd03c3797fc2e438672278f24754557b7849cfd6c9b80524e4bb2cf4115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1228bef54bf4c3ad76c36cdd16caf65e95c09673efb79eb7e6611ae6fb5fe537",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-01T22:34:51Z",
    "title_canon_sha256": "f2139df81a616448d9a920f1a8cfe2dc846ab5e2d43b5a3315a342dbc5165a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00539",
    "kind": "arxiv",
    "version": 2
  }
}