Pith Number

pith:P2REMNDO

pith:2018:P2REMNDOBZIXUZKPY4BYD5LTB2

not attested not anchored not stored refs pending

A lemma on the difference quotients

Jianhua Zheng, Kazuya Tohge, Risto Korhonen, Yueyang Zhang

arxiv:1806.00210 v1 · 2018-06-01 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2REMNDOBZIXUZKPY4BYD5LTB2}

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	2026-05-18T00:14:27.590192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ea246346e0e517a654fc70381f5730e8764d41a361b02a99057560fde54fd6c

Aliases

arxiv: 1806.00210 · arxiv_version: 1806.00210v1 · doi: 10.48550/arxiv.1806.00210 · pith_short_12: P2REMNDOBZIX · pith_short_16: P2REMNDOBZIXUZKP · pith_short_8: P2REMNDO

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/P2REMNDOBZIXUZKPY4BYD5LTB2 \
  | 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: 7ea246346e0e517a654fc70381f5730e8764d41a361b02a99057560fde54fd6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8187c35a5444bd44d5bd291f3d8c27743c84add2a7b1ff2e88c23d1ba6818582",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-06-01T06:27:12Z",
    "title_canon_sha256": "5d8a36e8a791d0d42f4c0ba78b5f93dc69d1d62e41c60ddfa5fc4db967a7012a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00210",
    "kind": "arxiv",
    "version": 1
  }
}