Pith Number

pith:4JDENN53

pith:2011:4JDENN53PDNFJZCDPFGEMG3Y2H

not attested not anchored not stored refs pending

A stability theorem for elliptic Harnack inequalities

Richard F. Bass

arxiv:1105.4087 v1 · 2011-05-20 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JDENN53PDNFJZCDPFGEMG3Y2H}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:21:42.997715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e24646b7bb78da54e443794c461b78d1f57073e9173690a16901bc4b93d9b1ad

Aliases

arxiv: 1105.4087 · arxiv_version: 1105.4087v1 · doi: 10.48550/arxiv.1105.4087 · pith_short_12: 4JDENN53PDNF · pith_short_16: 4JDENN53PDNFJZCD · pith_short_8: 4JDENN53

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/4JDENN53PDNFJZCDPFGEMG3Y2H \
  | 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: e24646b7bb78da54e443794c461b78d1f57073e9173690a16901bc4b93d9b1ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f60fc7117edcd391ac6cb53404727d1e1c5060837fb4767473c6e350093a83a9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-20T13:40:38Z",
    "title_canon_sha256": "410bda0a047788635df946d72c19939784f528126ab3e1befd5e833a62a1baf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4087",
    "kind": "arxiv",
    "version": 1
  }
}