Pith Number

pith:JRJPOR2N

pith:2016:JRJPOR2NUX2KAVN4YMXZEL6IXL

not attested not anchored not stored refs pending

Harmonic functions on metric measure spaces

Micha{\l} Gaczkowski, Przemys{\l}aw G\'orka, Tomasz Adamowicz

arxiv:1601.03919 v1 · 2016-01-15 · math.MG · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRJPOR2NUX2KAVN4YMXZEL6IXL}

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	2026-05-18T01:22:49.683991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c52f7474da5f4a055bcc32f922fc8baf851a9d398eb50a6ba6ad1468f2f00b5

Aliases

arxiv: 1601.03919 · arxiv_version: 1601.03919v1 · doi: 10.48550/arxiv.1601.03919 · pith_short_12: JRJPOR2NUX2K · pith_short_16: JRJPOR2NUX2KAVN4 · pith_short_8: JRJPOR2N

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/JRJPOR2NUX2KAVN4YMXZEL6IXL \
  | 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: 4c52f7474da5f4a055bcc32f922fc8baf851a9d398eb50a6ba6ad1468f2f00b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91dff8dda6d200dc94014d048637a05283d52a637858d7710aaa3ec71c0dee2d",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-01-15T13:50:08Z",
    "title_canon_sha256": "9794a5af6eb9f64c8e8c3178589669414096195dc75626fbabeac6899e06d85e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03919",
    "kind": "arxiv",
    "version": 1
  }
}