Pith Number

pith:23WPWSLJ

pith:2018:23WPWSLJH5BGNPDKSSRFXTST7G

not attested not anchored not stored refs pending

Remarks on a Paper by Leonetti and Siepe

Chao Liu, Hong Tian, Hongya Gao

arxiv:1812.07740 v1 · 2018-12-19 · 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{23WPWSLJH5BGNPDKSSRFXTST7G}

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	2026-05-17T23:57:56.165113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ecfb49693f4266bc6a94a25bce53f9a703763f2e6c07a6da0437985c2416c8

Aliases

arxiv: 1812.07740 · arxiv_version: 1812.07740v1 · doi: 10.48550/arxiv.1812.07740 · pith_short_12: 23WPWSLJH5BG · pith_short_16: 23WPWSLJH5BGNPDK · pith_short_8: 23WPWSLJ

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/23WPWSLJH5BGNPDKSSRFXTST7G \
  | 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: d6ecfb49693f4266bc6a94a25bce53f9a703763f2e6c07a6da0437985c2416c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad54476b75ae3277730b8235bb097bc219e6482015818751fca2dd71a421b317",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-19T03:25:40Z",
    "title_canon_sha256": "b6ff49a850fbd064139a75f0774d49f1154420c52405de6d40e0b66bb013a9ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07740",
    "kind": "arxiv",
    "version": 1
  }
}