Pith Number

pith:M5MQXYML

pith:2016:M5MQXYMLHVX2DFDMEYKAZEXLC6

not attested not anchored not stored refs pending

$A_\infty$ implies NTA for a class of variable coefficient elliptic operators

Jos\'e Mar\'ia Martell, Steve Hofmann, Tatiana Toro

arxiv:1611.09561 v4 · 2016-11-29 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5MQXYMLHVX2DFDMEYKAZEXLC6}

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	2026-05-18T00:03:50.429878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67590be18b3d6fa1946c26140c92eb17a1b1ff7d6b5d2e7f2e9c39663661d43b

Aliases

arxiv: 1611.09561 · arxiv_version: 1611.09561v4 · doi: 10.48550/arxiv.1611.09561 · pith_short_12: M5MQXYMLHVX2 · pith_short_16: M5MQXYMLHVX2DFDM · pith_short_8: M5MQXYML

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/M5MQXYMLHVX2DFDMEYKAZEXLC6 \
  | 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: 67590be18b3d6fa1946c26140c92eb17a1b1ff7d6b5d2e7f2e9c39663661d43b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577b2646e2205f3d6cd90134cdad738edbd4e8101b10e40b21482618c1663d72",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-29T10:43:08Z",
    "title_canon_sha256": "7be76820ed6dafe03807c1e38e9bfdb3aa048e7c507360399f7089153021b66a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09561",
    "kind": "arxiv",
    "version": 4
  }
}