Pith Number

pith:ETHK2Q7V

pith:2011:ETHK2Q7VMCBWUN27WESXRIPMRU

not attested not anchored not stored refs pending

Global Heat Kernel Estimate for Relativistic Stable Processes in Exterior Open Sets

Panki Kim, Renming Song, Zhen-Qing Chen

arxiv:1112.2778 v1 · 2011-12-13 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETHK2Q7VMCBWUN27WESXRIPMRU}

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	2026-05-18T04:06:32.501886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24cead43f560836a375fb12578a1ec8d26fee617248113cc0157ecafa5aebf22

Aliases

arxiv: 1112.2778 · arxiv_version: 1112.2778v1 · doi: 10.48550/arxiv.1112.2778 · pith_short_12: ETHK2Q7VMCBW · pith_short_16: ETHK2Q7VMCBWUN27 · pith_short_8: ETHK2Q7V

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/ETHK2Q7VMCBWUN27WESXRIPMRU \
  | 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: 24cead43f560836a375fb12578a1ec8d26fee617248113cc0157ecafa5aebf22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08be25af925ac04d3488a57a7ee96dce7b24b117225c863ae7eaa6ee32286e74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-13T02:57:34Z",
    "title_canon_sha256": "84d9604e8259e75590fc7a80324343183638dee3d908057c1c4669f9deb20807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2778",
    "kind": "arxiv",
    "version": 1
  }
}