Pith Number

pith:KM3V2MIZ

pith:2011:KM3V2MIZNSUCE4MDVSH67YYGCT

not attested not anchored not stored refs pending

Heat kernels of metric trees and applications

Hynek Kovarik, Rupert L. Frank

arxiv:1108.6145 v1 · 2011-08-31 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KM3V2MIZNSUCE4MDVSH67YYGCT}

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	2026-05-18T04:14:17.667436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53375d31196ca8227183ac8fefe30614f61c9c605e75a91d0e5015ad044a2850

Aliases

arxiv: 1108.6145 · arxiv_version: 1108.6145v1 · doi: 10.48550/arxiv.1108.6145 · pith_short_12: KM3V2MIZNSUC · pith_short_16: KM3V2MIZNSUCE4MD · pith_short_8: KM3V2MIZ

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/KM3V2MIZNSUCE4MDVSH67YYGCT \
  | 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: 53375d31196ca8227183ac8fefe30614f61c9c605e75a91d0e5015ad044a2850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30cea5cddfe9007e24ab74c9f5c94e7fe4ef562e32bf7996e945a4c0c7786352",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-08-31T07:40:48Z",
    "title_canon_sha256": "0e12f6e23826198afb4f835fa0cbb2b86cdd02d9f1d4f30520dc334fd8fa9a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6145",
    "kind": "arxiv",
    "version": 1
  }
}