Pith Number

pith:6YAR24VM

pith:2012:6YAR24VMVITJW3Y7SBZ2TFWISK

not attested not anchored not stored refs pending

Heat Kernel for Fractional Diffusion Operators with Perturbations

Feng-Yu Wang, Xicheng Zhang

arxiv:1204.4956 v1 · 2012-04-23 · 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{6YAR24VMVITJW3Y7SBZ2TFWISK}

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	2026-05-18T03:57:15.092436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6011d72acaa269b6f1f9073a996c892bc26018eea88a84a54cd84172e52201b

Aliases

arxiv: 1204.4956 · arxiv_version: 1204.4956v1 · doi: 10.48550/arxiv.1204.4956 · pith_short_12: 6YAR24VMVITJ · pith_short_16: 6YAR24VMVITJW3Y7 · pith_short_8: 6YAR24VM

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/6YAR24VMVITJW3Y7SBZ2TFWISK \
  | 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: f6011d72acaa269b6f1f9073a996c892bc26018eea88a84a54cd84172e52201b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cfa4dd5ecdc04c81c7a9146649b29dd5f5913c89eca4aebe9c2455a47f73d8c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-23T01:20:37Z",
    "title_canon_sha256": "7296f6db21845079aeeefee7a7838d784be677a19b9507a9aa56180034754fed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4956",
    "kind": "arxiv",
    "version": 1
  }
}