Pith Number

pith:KX6MQUIQ

pith:2017:KX6MQUIQGA2IY7FXNED7VUQCUT

not attested not anchored not stored refs pending

Gradient estimates for heat kernels and harmonic functions

Adam Sikora, Pekka Koskela, Renjin Jiang, Thierry Coulhon

arxiv:1703.02152 v2 · 2017-03-06 · math.MG · math.AP · math.CA · 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{KX6MQUIQGA2IY7FXNED7VUQCUT}

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	2026-05-18T00:33:59.328048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55fcc8511030348c7cb76907fad202a4d32575295c549a4d001c2fe7d0c48997

Aliases

arxiv: 1703.02152 · arxiv_version: 1703.02152v2 · doi: 10.48550/arxiv.1703.02152 · pith_short_12: KX6MQUIQGA2I · pith_short_16: KX6MQUIQGA2IY7FX · pith_short_8: KX6MQUIQ

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/KX6MQUIQGA2IY7FXNED7VUQCUT \
  | 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: 55fcc8511030348c7cb76907fad202a4d32575295c549a4d001c2fe7d0c48997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ca304d3634e5a8f8872a42cfe61c0e85affd4c6b97eb22447871a6cbf92c52",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-03-06T23:53:43Z",
    "title_canon_sha256": "45fa38d3782b75a3b07b90ece5124ed0f4a0387494641e706abce115ec8bddf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02152",
    "kind": "arxiv",
    "version": 2
  }
}