Pith Number

pith:YTMG6KBM

pith:2010:YTMG6KBMVXBZNVIPHGJWC2PNGE

not attested not anchored not stored refs pending

An inverse problem of Calderon type with partial data

Jonathan Rohleder, Jussi Behrndt

arxiv:1012.4657 v2 · 2010-12-21 · math.SP · 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{YTMG6KBMVXBZNVIPHGJWC2PNGE}

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	2026-05-18T03:55:21.783638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4d86f282cadc396d50f39936169ed312a8ac84c6e16ce725a3fc568a43a5db7

Aliases

arxiv: 1012.4657 · arxiv_version: 1012.4657v2 · doi: 10.48550/arxiv.1012.4657 · pith_short_12: YTMG6KBMVXBZ · pith_short_16: YTMG6KBMVXBZNVIP · pith_short_8: YTMG6KBM

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/YTMG6KBMVXBZNVIPHGJWC2PNGE \
  | 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: c4d86f282cadc396d50f39936169ed312a8ac84c6e16ce725a3fc568a43a5db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b42aaa9961964655ef92947e95725db1411d12e156951fbc68d2390b93c820c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-12-21T13:59:56Z",
    "title_canon_sha256": "bea563f2991f9f95cf2e97939c1949bf4945a78c22c207c205395ab1cff49bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4657",
    "kind": "arxiv",
    "version": 2
  }
}