Pith Number

pith:MVVE6ZTP

pith:2011:MVVE6ZTPZ7MIAPGPJKZ5JLVCHL

not attested not anchored not stored refs pending

Invariance of Green equilibrium measure on the domain

Stamatis Pouliasis

arxiv:1101.2873 v1 · 2011-01-14 · 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{MVVE6ZTPZ7MIAPGPJKZ5JLVCHL}

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	2026-05-18T04:31:31.650847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

656a4f666fcfd8803ccf4ab3d4aea23adaea1c1bfa275eaa5729488f7129e5d9

Aliases

arxiv: 1101.2873 · arxiv_version: 1101.2873v1 · doi: 10.48550/arxiv.1101.2873 · pith_short_12: MVVE6ZTPZ7MI · pith_short_16: MVVE6ZTPZ7MIAPGP · pith_short_8: MVVE6ZTP

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/MVVE6ZTPZ7MIAPGPJKZ5JLVCHL \
  | 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: 656a4f666fcfd8803ccf4ab3d4aea23adaea1c1bfa275eaa5729488f7129e5d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9e437f68d3ddd63c95c3a1ca64c79f2ee1c5201933c59cab4ce45131139e823",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-01-14T18:52:24Z",
    "title_canon_sha256": "b893c8b91ae656d9b939296ec42ec943775ec36c5ea357f94231aa616bb86a52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2873",
    "kind": "arxiv",
    "version": 1
  }
}