Pith Number

pith:XPROSMFQ

pith:2011:XPROSMFQXIFZKZ7PR7JDQFKKDR

not attested not anchored not stored refs pending

Lie theorem via rank 2 distributions (integration of PDE of class \omega=1)

Boris Kruglikov

arxiv:1108.5854 v1 · 2011-08-30 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPROSMFQXIFZKZ7PR7JDQFKKDR}

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	2026-05-18T04:14:28.405954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe2e930b0ba0b9567ef8fd238154a1c786cfdea44a0be09919e5787d0f2e5d9

Aliases

arxiv: 1108.5854 · arxiv_version: 1108.5854v1 · doi: 10.48550/arxiv.1108.5854 · pith_short_12: XPROSMFQXIFZ · pith_short_16: XPROSMFQXIFZKZ7P · pith_short_8: XPROSMFQ

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/XPROSMFQXIFZKZ7PR7JDQFKKDR \
  | 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: bbe2e930b0ba0b9567ef8fd238154a1c786cfdea44a0be09919e5787d0f2e5d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "709469def37f9828d217cddceb5566a9db684b7d83b4b516a871d974de185aa3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-30T07:27:49Z",
    "title_canon_sha256": "b9a7ec0d16e0de6f27919774f62aa5c9f42bbd303e37a5e27f400beabc2512f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5854",
    "kind": "arxiv",
    "version": 1
  }
}