Pith Number

pith:VH3ID6GR

pith:2011:VH3ID6GRGOWH774VRHVFOQRYPM

not attested not anchored not stored refs pending

Green vs. Lempert functions: a minimal example

Pascal J. Thomas

arxiv:1104.1985 v3 · 2011-04-11 · 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{VH3ID6GRGOWH774VRHVFOQRYPM}

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	2026-05-18T03:46:16.998285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9f681f8d133ac7fff9589ea5742387b1e33f3ab165d02bb176816bebffcc749

Aliases

arxiv: 1104.1985 · arxiv_version: 1104.1985v3 · doi: 10.48550/arxiv.1104.1985 · pith_short_12: VH3ID6GRGOWH · pith_short_16: VH3ID6GRGOWH774V · pith_short_8: VH3ID6GR

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/VH3ID6GRGOWH774VRHVFOQRYPM \
  | 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: a9f681f8d133ac7fff9589ea5742387b1e33f3ab165d02bb176816bebffcc749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98cc6b9a38315fadab6781407a32a0fe709cf210bb037392d2c738c373444cab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-04-11T15:54:31Z",
    "title_canon_sha256": "7d354a4901bc080ed6f70b5751c1299185da6561b71434287ec4df11aaa39bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1985",
    "kind": "arxiv",
    "version": 3
  }
}