Pith Number

pith:HPS3IRZX

pith:2012:HPS3IRZXXOVIRBAUF2QUV2EGD6

not attested not anchored not stored refs pending

Large time behavior for the heat equation on Carnot groups

Francesco Rossi

arxiv:1212.2003 v1 · 2012-12-10 · 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{HPS3IRZXXOVIRBAUF2QUV2EGD6}

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	2026-05-18T03:38:54.545971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be5b44737bbaa8884142ea14ae8861f850a5b4070bd84c25620d01463c20361

Aliases

arxiv: 1212.2003 · arxiv_version: 1212.2003v1 · doi: 10.48550/arxiv.1212.2003 · pith_short_12: HPS3IRZXXOVI · pith_short_16: HPS3IRZXXOVIRBAU · pith_short_8: HPS3IRZX

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/HPS3IRZXXOVIRBAUF2QUV2EGD6 \
  | 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: 3be5b44737bbaa8884142ea14ae8861f850a5b4070bd84c25620d01463c20361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9ea25bdbf5ac9e9e2d16fe3b9e15314f495362b66c09691ab503032391754d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-10T09:30:14Z",
    "title_canon_sha256": "c925d8255b9e497899b89082a002c61cca04efc12f240a70df9bf46f00df0ff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2003",
    "kind": "arxiv",
    "version": 1
  }
}