Pith Number

pith:SMLXPDX3

pith:2013:SMLXPDX3PMD262ZUIF7IA7PLIX

not attested not anchored not stored refs pending

A note on J\"orgens-Calabi-Pogorelov theorem

Vladimir G. Tkachev

arxiv:1311.1498 v2 · 2013-11-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMLXPDX3PMD262ZUIF7IA7PLIX}

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	2026-05-18T03:07:42.004773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9317778efb7b07af6b34417e807deb45d6fe4fe9e7bf3c54d04407b2f6b3c054

Aliases

arxiv: 1311.1498 · arxiv_version: 1311.1498v2 · doi: 10.48550/arxiv.1311.1498 · pith_short_12: SMLXPDX3PMD2 · pith_short_16: SMLXPDX3PMD262ZU · pith_short_8: SMLXPDX3

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/SMLXPDX3PMD262ZUIF7IA7PLIX \
  | 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: 9317778efb7b07af6b34417e807deb45d6fe4fe9e7bf3c54d04407b2f6b3c054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d916f9eb08980df7df89caf43bdb8122ec3cb0b3214e3670ee64e8eb44c68f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-06T20:59:30Z",
    "title_canon_sha256": "1a86026bd21d3967cdbca4a28a189f719e75a90b057bd543138d0b6d14e61dca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1498",
    "kind": "arxiv",
    "version": 2
  }
}