Pith Number

pith:N2BXELZC

pith:2011:N2BXELZCRID6HMGA5UAUPYVVU7

not attested not anchored not stored refs pending

Chaotic Dynamics of the heat semigroup on the Damek-Ricci spaces

Rudra P Sarkar

arxiv:1109.1976 v1 · 2011-09-09 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2BXELZCRID6HMGA5UAUPYVVU7}

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	2026-05-18T04:13:46.420093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e83722f228a07e3b0c0ed0147e2b5a7e6d5f74505e3534ba2a206a006ac9b55

Aliases

arxiv: 1109.1976 · arxiv_version: 1109.1976v1 · doi: 10.48550/arxiv.1109.1976 · pith_short_12: N2BXELZCRID6 · pith_short_16: N2BXELZCRID6HMGA · pith_short_8: N2BXELZC

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/N2BXELZCRID6HMGA5UAUPYVVU7 \
  | 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: 6e83722f228a07e3b0c0ed0147e2b5a7e6d5f74505e3534ba2a206a006ac9b55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fb8c0f940f48e34ea5f7d6701ee6e412687c5d98c3863bfea2c6a903063edde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-09T12:12:01Z",
    "title_canon_sha256": "9fbf96da914aefd401675e36f365d9782a575467a6a689001690f1756ff74287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1976",
    "kind": "arxiv",
    "version": 1
  }
}