Pith Number

pith:TEULUTYD

pith:2011:TEULUTYDV4WECMNRUZFQAOFGPA

not attested not anchored not stored refs pending

Regularity at the Boundary and Tangential Regularity

Giuseppe Zampieri, Tran Vu Khanh

arxiv:1104.1407 v1 · 2011-04-07 · 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{TEULUTYDV4WECMNRUZFQAOFGPA}

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	2026-05-18T04:24:52.307844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9928ba4f03af2c4131b1a64b0038a6780b5b8ceeee457617270d8fee96589621

Aliases

arxiv: 1104.1407 · arxiv_version: 1104.1407v1 · doi: 10.48550/arxiv.1104.1407 · pith_short_12: TEULUTYDV4WE · pith_short_16: TEULUTYDV4WECMNR · pith_short_8: TEULUTYD

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/TEULUTYDV4WECMNRUZFQAOFGPA \
  | 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: 9928ba4f03af2c4131b1a64b0038a6780b5b8ceeee457617270d8fee96589621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae372f9aa03206c088d6007c502b2b0842a00863717de7d0417ea5f071061f03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-04-07T19:04:33Z",
    "title_canon_sha256": "44f99bc0df4a4d063ea56373fc0e0c3d736bf8ce3a8e4604856120b7c360ee09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1407",
    "kind": "arxiv",
    "version": 1
  }
}