Pith Number

pith:664Y3JZ6

pith:2018:664Y3JZ6AIEST2PNBZOCQQAVKB

not attested not anchored not stored refs pending

Growth theorems in slice analysis of several variables

Guangbin Ren, Ting Yang

arxiv:1810.10847 v1 · 2018-10-25 · 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{664Y3JZ6AIEST2PNBZOCQQAVKB}

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	2026-05-18T00:02:19.029289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7b98da73e020929e9ed0e5c28401550402225a338ca7c42eb4885f645a06909

Aliases

arxiv: 1810.10847 · arxiv_version: 1810.10847v1 · doi: 10.48550/arxiv.1810.10847 · pith_short_12: 664Y3JZ6AIES · pith_short_16: 664Y3JZ6AIEST2PN · pith_short_8: 664Y3JZ6

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/664Y3JZ6AIEST2PNBZOCQQAVKB \
  | 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: f7b98da73e020929e9ed0e5c28401550402225a338ca7c42eb4885f645a06909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0cc83ff8f60229a2ad3d10636bb03d3ef3156303885db6c18f9180f5757f4d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-10-25T12:41:10Z",
    "title_canon_sha256": "36737950dfc7563fb25d4e66ceaa4a809d2db4586c3d33e67bcc8435e0fb2178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10847",
    "kind": "arxiv",
    "version": 1
  }
}