Pith Number

pith:RODKDIXM

pith:2018:RODKDIXMGGMNLIJUMZANXZKXD7

not attested not anchored not stored refs pending

A note on heat kernel estimates, resistance bounds and Poincar\'e inequality

Mathav Murugan

arxiv:1809.00767 v2 · 2018-09-04 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RODKDIXMGGMNLIJUMZANXZKXD7}

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	2026-05-18T00:02:39.593609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b86a1a2ec3198d5a1346640dbe5571ff5d944f09b2e32f911b02e175dda0248

Aliases

arxiv: 1809.00767 · arxiv_version: 1809.00767v2 · doi: 10.48550/arxiv.1809.00767 · pith_short_12: RODKDIXMGGMN · pith_short_16: RODKDIXMGGMNLIJU · pith_short_8: RODKDIXM

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/RODKDIXMGGMNLIJUMZANXZKXD7 \
  | 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: 8b86a1a2ec3198d5a1346640dbe5571ff5d944f09b2e32f911b02e175dda0248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a27d6099b7116b405a24ab32b422f0c58b0149b2399e1b87dd86a79731307d32",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-04T01:59:27Z",
    "title_canon_sha256": "8c27be0b470cd2401218b49c255a362793023fb75c6e6264a3b092c2f5a70c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00767",
    "kind": "arxiv",
    "version": 2
  }
}