Pith Number

pith:ALB22SAP

pith:2010:ALB22SAPGEGEZTCW22VB2STLP5

not attested not anchored not stored refs pending

Existence of energy-minimal diffeomorphisms between doubly connected domains

Jani Onninen, Leonid V. Kovalev, Ngin-Tee Koh, Tadeusz Iwaniec

arxiv:1008.0652 v1 · 2010-08-03 · 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{ALB22SAPGEGEZTCW22VB2STLP5}

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	2026-05-18T04:06:19.201876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02c3ad480f310c4ccc56d6aa1d4a6b7f4939cc72b7dda381445a7ef7b568606d

Aliases

arxiv: 1008.0652 · arxiv_version: 1008.0652v1 · doi: 10.48550/arxiv.1008.0652 · pith_short_12: ALB22SAPGEGE · pith_short_16: ALB22SAPGEGEZTCW · pith_short_8: ALB22SAP

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/ALB22SAPGEGEZTCW22VB2STLP5 \
  | 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: 02c3ad480f310c4ccc56d6aa1d4a6b7f4939cc72b7dda381445a7ef7b568606d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bded676ae2d3b98f64fc443d444403455fae0a238d97108782a2dfd25e67d7e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-08-03T20:21:50Z",
    "title_canon_sha256": "34534dd5098d5215fa404454fd5bc30e03ef620e29fd457995c14c38c29670be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0652",
    "kind": "arxiv",
    "version": 1
  }
}