Pith Number

pith:CBH7XZ62

pith:2013:CBH7XZ62CQO2TNYYVZ7XVAQASK

not attested not anchored not stored refs pending

On the Harnack inequality for parabolic minimizers in metric measure spaces

Mathias Masson, Niko Marola

arxiv:1301.3765 v4 · 2013-01-16 · 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{CBH7XZ62CQO2TNYYVZ7XVAQASK}

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	2026-05-18T03:00:59.032327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

104ffbe7da141da9b718ae7f7a82009282e321610ad889739fddbba0e788afc8

Aliases

arxiv: 1301.3765 · arxiv_version: 1301.3765v4 · doi: 10.48550/arxiv.1301.3765 · pith_short_12: CBH7XZ62CQO2 · pith_short_16: CBH7XZ62CQO2TNYY · pith_short_8: CBH7XZ62

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/CBH7XZ62CQO2TNYYVZ7XVAQASK \
  | 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: 104ffbe7da141da9b718ae7f7a82009282e321610ad889739fddbba0e788afc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48b93c138e874e2f4e2c2d8357fce3c7608d423189c684b1b67484143b232807",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-16T17:54:12Z",
    "title_canon_sha256": "3c90e62039755d1e5a406bc32a6ac13ed2a5045b5b301688386abbf340d5f7cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3765",
    "kind": "arxiv",
    "version": 4
  }
}