Pith Number

pith:VAZDF4RP

pith:2015:VAZDF4RPQ2PCTNRX2QWR7PWS3R

not attested not anchored not stored refs pending

Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments

Felix Otto, Jean-Christophe Mourrat

arxiv:1503.08280 v1 · 2015-03-28 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAZDF4RPQ2PCTNRX2QWR7PWS3R}

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	2026-05-18T02:20:02.249860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a83232f22f869e29b637d42d1fbed2dc72213f2457e47c85fa04fa97b55543c0

Aliases

arxiv: 1503.08280 · arxiv_version: 1503.08280v1 · doi: 10.48550/arxiv.1503.08280 · pith_short_12: VAZDF4RPQ2PC · pith_short_16: VAZDF4RPQ2PCTNRX · pith_short_8: VAZDF4RP

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/VAZDF4RPQ2PCTNRX2QWR7PWS3R \
  | 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: a83232f22f869e29b637d42d1fbed2dc72213f2457e47c85fa04fa97b55543c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "144e12ebd4011f99a74fcf0bb01cea39f126abd7ab85a105eed2877df4c940f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-28T08:03:39Z",
    "title_canon_sha256": "198f57663a34a55bd73c65aed9f2909a8b5e32f4e766bf33bbc64c175e1e4149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08280",
    "kind": "arxiv",
    "version": 1
  }
}