Pith Number

pith:TSE6FDMK

pith:2012:TSE6FDMKLL2IBUJSMLC5HFOU2Q

not attested not anchored not stored refs pending

Sharp differentiability results for lip

Kevin Wildrick, Thomas Z\"urcher

arxiv:1208.2133 v3 · 2012-08-10 · math.MG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSE6FDMKLL2IBUJSMLC5HFOU2Q}

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	2026-05-18T03:22:17.443154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c89e28d8a5af480d13262c5d395d4d401c23cc911dbec91b4d5fd8788a8decf

Aliases

arxiv: 1208.2133 · arxiv_version: 1208.2133v3 · doi: 10.48550/arxiv.1208.2133 · pith_short_12: TSE6FDMKLL2I · pith_short_16: TSE6FDMKLL2IBUJS · pith_short_8: TSE6FDMK

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/TSE6FDMKLL2IBUJSMLC5HFOU2Q \
  | 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: 9c89e28d8a5af480d13262c5d395d4d401c23cc911dbec91b4d5fd8788a8decf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856874fd5c3d03681fbbb71af3489d5d5d34d1d52433396ad94fbfc604910774",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-08-10T09:58:18Z",
    "title_canon_sha256": "b2f382c93011c111483bd5c9f3ba4fec6c04cfee27cc0dad55798aaff9df56d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2133",
    "kind": "arxiv",
    "version": 3
  }
}