Pith Number

pith:2HJZAI6K

pith:2018:2HJZAI6KMTTC3THKTXFUVYHQOQ

not attested not anchored not stored refs pending

A picone Identity for variable exponent operators and applications

Guillaume Warnault, Jacques Giacomoni, Rakesh Arora

arxiv:1810.11616 v1 · 2018-10-27 · 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{2HJZAI6KMTTC3THKTXFUVYHQOQ}

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	2026-05-18T00:02:08.060883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1d39023ca64e62dccea9dcb4ae0f0743d59f9742fa59cd43581e0c3997b0601

Aliases

arxiv: 1810.11616 · arxiv_version: 1810.11616v1 · doi: 10.48550/arxiv.1810.11616 · pith_short_12: 2HJZAI6KMTTC · pith_short_16: 2HJZAI6KMTTC3THK · pith_short_8: 2HJZAI6K

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/2HJZAI6KMTTC3THKTXFUVYHQOQ \
  | 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: d1d39023ca64e62dccea9dcb4ae0f0743d59f9742fa59cd43581e0c3997b0601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19f3c68814a169b68110681b7f1d304af00fd11ad39b4a9acd0404e9e5a2471c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-27T07:58:21Z",
    "title_canon_sha256": "6d23e9662da0a436d337addafa043aa38885f4c013efe787b7e348b677054573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11616",
    "kind": "arxiv",
    "version": 1
  }
}