Pith Number

pith:QNGL4WC5

pith:2016:QNGL4WC56DJSITCXXPHYMINVGC

not attested not anchored not stored refs pending

Criteria of univalence and fully \alpha--accessibility for p--harmonic and p--analytic functions

E. G. Ganenkova, K. F. Amozova, S. Ponnusamy

arxiv:1612.02220 v1 · 2016-12-07 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNGL4WC56DJSITCXXPHYMINVGC}

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	2026-05-18T00:55:35.106184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

834cbe585df0d3244c57bbcf8621b530a8e90ddefa8497aefb95a23bb495b5a6

Aliases

arxiv: 1612.02220 · arxiv_version: 1612.02220v1 · doi: 10.48550/arxiv.1612.02220 · pith_short_12: QNGL4WC56DJS · pith_short_16: QNGL4WC56DJSITCX · pith_short_8: QNGL4WC5

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/QNGL4WC56DJSITCXXPHYMINVGC \
  | 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: 834cbe585df0d3244c57bbcf8621b530a8e90ddefa8497aefb95a23bb495b5a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5a08d7c8f2dc94c18af652fb43f09a45551b2dd8e7ce2229ebc8b0e468654be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-12-07T12:30:24Z",
    "title_canon_sha256": "f9106fe88df391d0829dbbc594713ef16d47d79f173dc37067d57963d3793f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02220",
    "kind": "arxiv",
    "version": 1
  }
}