Pith Number

pith:MWL2R2AN

pith:2022:MWL2R2ANKC5V2NOB65VRHSVJQ4

not attested not anchored not stored refs pending

Several Integral Estimates and Some Applications

Hongxin Chen, Min Zhou, Pengcheng Tang, Xuejun Zhang, Yuting Guo

arxiv:2209.03029 v1 · 2022-09-07 · math.FA · 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{MWL2R2ANKC5V2NOB65VRHSVJQ4}

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	2026-07-05T09:53:37.698432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6597a8e80d50bb5d35c1f76b13caa9870b7ba1a4719c0d83ec31c7594a063357

Aliases

arxiv: 2209.03029 · arxiv_version: 2209.03029v1 · doi: 10.48550/arxiv.2209.03029 · pith_short_12: MWL2R2ANKC5V · pith_short_16: MWL2R2ANKC5V2NOB · pith_short_8: MWL2R2AN

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/MWL2R2ANKC5V2NOB65VRHSVJQ4 \
  | 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: 6597a8e80d50bb5d35c1f76b13caa9870b7ba1a4719c0d83ec31c7594a063357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb1d802c156eaf95c8857aaac91dc09f4b6c4ef8cdf2027fca077acd08143cdd",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-09-07T09:53:55Z",
    "title_canon_sha256": "867e208ffb3f754464fa217176064351c93634b39610c9b070d1644025382e12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.03029",
    "kind": "arxiv",
    "version": 1
  }
}