Pith Number

pith:NUFKSQ25

pith:2012:NUFKSQ25R5PNZIKORYGBKUIULZ

not attested not anchored not stored refs pending

Covering results and perturbed Roper--Suffridge operators

Marina Levenshtein, Mark Elin

arxiv:1202.3063 v1 · 2012-02-14 · 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{NUFKSQ25R5PNZIKORYGBKUIULZ}

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	2026-05-18T04:02:24.192313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d0aa9435d8f5edca14e8e0c1551145e52667a990a2ea2e33d20d2eb881051a0

Aliases

arxiv: 1202.3063 · arxiv_version: 1202.3063v1 · doi: 10.48550/arxiv.1202.3063 · pith_short_12: NUFKSQ25R5PN · pith_short_16: NUFKSQ25R5PNZIKO · pith_short_8: NUFKSQ25

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/NUFKSQ25R5PNZIKORYGBKUIULZ \
  | 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: 6d0aa9435d8f5edca14e8e0c1551145e52667a990a2ea2e33d20d2eb881051a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ac716fe1c3e5786f36f524247b8eb808404489dcccdbe1b17032d5a41f58467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-02-14T15:20:23Z",
    "title_canon_sha256": "41aee96ef785cf9e69242faecebc21c5b662e3a7015d4c1115287c87a358330d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3063",
    "kind": "arxiv",
    "version": 1
  }
}