Pith Number

pith:RPOYZ4J6

pith:2011:RPOYZ4J6JU5A3Q7IDDUWHLDFGM

not attested not anchored not stored refs pending

Defining Functions for Unbounded $C^m$ Domains

Andrew Raich, Phillip Harrington

arxiv:1111.4177 v1 · 2011-11-17 · math.DG · 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{RPOYZ4J6JU5A3Q7IDDUWHLDFGM}

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	2026-05-18T02:49:03.500469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bdd8cf13e4d3a0dc3e818e963ac65330cc81fd7dd991660b3651eccab0c6f02

Aliases

arxiv: 1111.4177 · arxiv_version: 1111.4177v1 · doi: 10.48550/arxiv.1111.4177 · pith_short_12: RPOYZ4J6JU5A · pith_short_16: RPOYZ4J6JU5A3Q7I · pith_short_8: RPOYZ4J6

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/RPOYZ4J6JU5A3Q7IDDUWHLDFGM \
  | 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: 8bdd8cf13e4d3a0dc3e818e963ac65330cc81fd7dd991660b3651eccab0c6f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2edde5d9588048111aee37669f3aade363d54fbfb360ed0b5f78cc0cc4fb1231",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-17T18:56:48Z",
    "title_canon_sha256": "aa778eb52fb752b735a4e55385816edaa54dfbbfd8c9ae2fe0f1f58475c7499e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4177",
    "kind": "arxiv",
    "version": 1
  }
}