Pith Number

pith:IHWDIZ5T

pith:2011:IHWDIZ5T4HXFZ7QRUJD6KCQ4CF

not attested not anchored not stored refs pending

Asymptotic statistical characterizations of p-harmonic functions of two variables

David Hartenstine, Matthew Rudd

arxiv:1108.1982 v1 · 2011-08-09 · 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{IHWDIZ5T4HXFZ7QRUJD6KCQ4CF}

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	2026-05-18T04:15:50.766101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41ec3467b3e1ee5cfe11a247e50a1c115fc711843e73fa3deda9949585da2d8f

Aliases

arxiv: 1108.1982 · arxiv_version: 1108.1982v1 · doi: 10.48550/arxiv.1108.1982 · pith_short_12: IHWDIZ5T4HXF · pith_short_16: IHWDIZ5T4HXFZ7QR · pith_short_8: IHWDIZ5T

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/IHWDIZ5T4HXFZ7QRUJD6KCQ4CF \
  | 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: 41ec3467b3e1ee5cfe11a247e50a1c115fc711843e73fa3deda9949585da2d8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af74c78e3c775c936d04c60d4ffd5b2cdc1e053b8f22846f47e6ffc84a987cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-09T16:57:23Z",
    "title_canon_sha256": "d1ee9d7625e65a3394ae771a077c5055832da3205fee59a99fc5ce50e4d26510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1982",
    "kind": "arxiv",
    "version": 1
  }
}