Pith Number

pith:DNMEQCAR

pith:2015:DNMEQCARLBM7Y7QPZYYEDXF6AQ

not attested not anchored not stored refs pending

$1$-Dimensional Harnack Estimates

Fatma Gamze D\"uzg\"un, Ugo Gianazza, Vincenzo Vespri

arxiv:1503.07448 v1 · 2015-03-25 · 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{DNMEQCARLBM7Y7QPZYYEDXF6AQ}

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	2026-05-18T01:09:48.917710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b584808115859fc7e0fce3041dcbe0404da0d1210a0d671e1b9d971338efb33

Aliases

arxiv: 1503.07448 · arxiv_version: 1503.07448v1 · doi: 10.48550/arxiv.1503.07448 · pith_short_12: DNMEQCARLBM7 · pith_short_16: DNMEQCARLBM7Y7QP · pith_short_8: DNMEQCAR

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/DNMEQCARLBM7Y7QPZYYEDXF6AQ \
  | 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: 1b584808115859fc7e0fce3041dcbe0404da0d1210a0d671e1b9d971338efb33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad384305b0d0c1542ee52b93384b664ce3617f6d11835ce369d5d42f292ac141",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-25T16:36:37Z",
    "title_canon_sha256": "afdd43f9845813447d146bbd87e2fefd228abf58f8a6ebfb840a42cda3ba7a85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07448",
    "kind": "arxiv",
    "version": 1
  }
}