Pith Number

pith:SG7VC5EB

pith:2014:SG7VC5EBAJPBORSYDI4HVYV7RV

not attested not anchored not stored refs pending

Heat Kernel Bounds on Metric Measure Spaces and Some Applications

Huaiqian Li, Huichun Zhang, Renjin Jiang

arxiv:1407.5289 v2 · 2014-07-20 · math.MG · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SG7VC5EBAJPBORSYDI4HVYV7RV}

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	2026-05-18T01:25:39.783407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91bf517481025e1746581a387ae2bf8d686117354cce1dc8562bb850e3d5d1a1

Aliases

arxiv: 1407.5289 · arxiv_version: 1407.5289v2 · doi: 10.48550/arxiv.1407.5289 · pith_short_12: SG7VC5EBAJPB · pith_short_16: SG7VC5EBAJPBORSY · pith_short_8: SG7VC5EB

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/SG7VC5EBAJPBORSYDI4HVYV7RV \
  | 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: 91bf517481025e1746581a387ae2bf8d686117354cce1dc8562bb850e3d5d1a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a63b39baf3e44cd2bd501d33b3b7ef6dc70e0ff5408152d07c8d0ac067b5106f",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-07-20T13:35:12Z",
    "title_canon_sha256": "c0410a4ea3bac47d0ba907a580c8b39932ac89d69162531619b2e9e76d1fe48f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5289",
    "kind": "arxiv",
    "version": 2
  }
}