Pith Number

pith:33HDNK3X

pith:2017:33HDNK3XJSTMBMDZL5GQ6AL2AI

not attested not anchored not stored refs pending

An extension operator on bounded domains and applications

Mathew Gluck, Meijun Zhu

arxiv:1709.03649 v1 · 2017-09-12 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33HDNK3XJSTMBMDZL5GQ6AL2AI}

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	2026-05-18T00:35:29.927810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dece36ab774ca6c0b0795f4d0f017a02357892fe63f938ce0ae412a84c1b81be

Aliases

arxiv: 1709.03649 · arxiv_version: 1709.03649v1 · doi: 10.48550/arxiv.1709.03649 · pith_short_12: 33HDNK3XJSTM · pith_short_16: 33HDNK3XJSTMBMDZ · pith_short_8: 33HDNK3X

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/33HDNK3XJSTMBMDZL5GQ6AL2AI \
  | 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: dece36ab774ca6c0b0795f4d0f017a02357892fe63f938ce0ae412a84c1b81be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05fc17fdad5fd75a67e1fb0fc2b763379fe39ffa1c067007d53f87af01c9f727",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-12T01:56:55Z",
    "title_canon_sha256": "3d4b61680d6de6c6f5f93534446fcb128370f385efe8021742a66c4a043d3bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03649",
    "kind": "arxiv",
    "version": 1
  }
}