Pith Number

pith:2EE2ZQXR

pith:2012:2EE2ZQXRLI2P7F5EGY3ZWGNQKU

not attested not anchored not stored refs pending

Dimension-independent estimates for heat operators and harmonic functions

Brian C. Hall, Matthew Cecil

arxiv:1208.4614 v2 · 2012-08-22 · math.DG · 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{2EE2ZQXRLI2P7F5EGY3ZWGNQKU}

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	2026-05-18T02:31:36.662022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d109acc2f15a34ff97a436379b19b055031689e9ed6cab2df1e9593d868a81e3

Aliases

arxiv: 1208.4614 · arxiv_version: 1208.4614v2 · doi: 10.48550/arxiv.1208.4614 · pith_short_12: 2EE2ZQXRLI2P · pith_short_16: 2EE2ZQXRLI2P7F5E · pith_short_8: 2EE2ZQXR

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/2EE2ZQXRLI2P7F5EGY3ZWGNQKU \
  | 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: d109acc2f15a34ff97a436379b19b055031689e9ed6cab2df1e9593d868a81e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6409b807ab7f439af1a15bb67536154b9327ea257bf9c6c2599efb68699d3590",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-08-22T20:28:22Z",
    "title_canon_sha256": "c3b5456af96f56ec22df76a255bf82f4164b5ee46f6e7dbb62fd63fa16e60d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4614",
    "kind": "arxiv",
    "version": 2
  }
}