Pith Number

pith:AVC4HC6Q

pith:2017:AVC4HC6QXKCV5N4A6UR2UCQQA2

not attested not anchored not stored refs pending

Log-biharmonicity and a Jensen formula in the space of quaternions

Amedeo Altavilla, Cinzia Bisi

arxiv:1708.04894 v2 · 2017-08-16 · math.CV · 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{AVC4HC6QXKCV5N4A6UR2UCQQA2}

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	2026-05-17T23:44:32.951284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0545c38bd0ba855eb780f523aa0a10069ced70aed1ed5bf7666749848fbb9ae2

Aliases

arxiv: 1708.04894 · arxiv_version: 1708.04894v2 · doi: 10.48550/arxiv.1708.04894 · pith_short_12: AVC4HC6QXKCV · pith_short_16: AVC4HC6QXKCV5N4A · pith_short_8: AVC4HC6Q

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/AVC4HC6QXKCV5N4A6UR2UCQQA2 \
  | 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: 0545c38bd0ba855eb780f523aa0a10069ced70aed1ed5bf7666749848fbb9ae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f374ec7fb6c7d5c888b6fc2142949b549ed10a21ecf92fc4f5e9f45357adbe33",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-08-16T13:47:10Z",
    "title_canon_sha256": "d20bb4efb64a0fe305f41ec28dc5213dfb24b4160206e6015ea257728e650c81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04894",
    "kind": "arxiv",
    "version": 2
  }
}