Pith Number

pith:MCTXBATF

pith:2012:MCTXBATFBMMWNRIEJKYR3EOSKZ

not attested not anchored not stored refs pending

Operator theory and the Oka extension theorem

Jim Agler, John E. McCarthy

arxiv:1212.5282 v1 · 2012-12-20 · math.CV · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCTXBATFBMMWNRIEJKYR3EOSKZ}

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	2026-05-18T03:38:02.282461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60a77082650b1966c5044ab11d91d25669147d5418e864a67c1c35105da7226d

Aliases

arxiv: 1212.5282 · arxiv_version: 1212.5282v1 · doi: 10.48550/arxiv.1212.5282 · pith_short_12: MCTXBATFBMMW · pith_short_16: MCTXBATFBMMWNRIE · pith_short_8: MCTXBATF

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/MCTXBATFBMMWNRIEJKYR3EOSKZ \
  | 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: 60a77082650b1966c5044ab11d91d25669147d5418e864a67c1c35105da7226d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ad2984f15777ab66bb333f54f927eaaac2475a5ee96431e8ae803e259266e88",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-12-20T22:10:59Z",
    "title_canon_sha256": "6ca656cea1cb388f163dc5f8920c45f47050aae775414f9e24042d047bb0eb09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5282",
    "kind": "arxiv",
    "version": 1
  }
}