Pith Number

pith:CAUYIG23

pith:2017:CAUYIG23GEXW7WR5KTROUTTJZJ

not attested not anchored not stored refs pending

On the rough Gronwall lemma and its applications

Martina Hofmanova

arxiv:1709.03072 v1 · 2017-09-10 · 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{CAUYIG23GEXW7WR5KTROUTTJZJ}

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	2026-05-18T00:35:39.469356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1029841b5b312f6fda3d54e2ea4e69ca75f53a56295be172ad91ac938ea00208

Aliases

arxiv: 1709.03072 · arxiv_version: 1709.03072v1 · doi: 10.48550/arxiv.1709.03072 · pith_short_12: CAUYIG23GEXW · pith_short_16: CAUYIG23GEXW7WR5 · pith_short_8: CAUYIG23

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/CAUYIG23GEXW7WR5KTROUTTJZJ \
  | 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: 1029841b5b312f6fda3d54e2ea4e69ca75f53a56295be172ad91ac938ea00208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e7dd50f6e9e01b58c304a6008763deb0449ed4e72cf5eb19c2c5b04e4bc58c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-10T09:07:32Z",
    "title_canon_sha256": "c442e1f7000c3aad1a7f36e4d2097176ef12ad79970befdb7f78217d1dbd5d95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03072",
    "kind": "arxiv",
    "version": 1
  }
}