Pith Number

pith:RLBHKF6E

pith:2013:RLBHKF6ETVCS6BPXDPNHBBERWH

not attested not anchored not stored refs pending

Harmonic functions on metric measure spaces

Bobo Hua, Chao Xia, Martin Kell

arxiv:1308.3607 v2 · 2013-08-16 · math.AP · math.MG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLBHKF6ETVCS6BPXDPNHBBERWH}

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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.

Cited by

1 paper in Pith

Partial regularity of harmonic maps from Alexandrov spaces

Receipt and verification

First computed	2026-05-18T01:19:00.663136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ac27517c49d452f05f71bda708491b1c2d9afd5949a93637eee5737b9b5c702

Aliases

arxiv: 1308.3607 · arxiv_version: 1308.3607v2 · doi: 10.48550/arxiv.1308.3607 · pith_short_12: RLBHKF6ETVCS · pith_short_16: RLBHKF6ETVCS6BPX · pith_short_8: RLBHKF6E

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/RLBHKF6ETVCS6BPXDPNHBBERWH \
  | 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: 8ac27517c49d452f05f71bda708491b1c2d9afd5949a93637eee5737b9b5c702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30ae95c8c15f5249b2da2e8db45827a45e5c63b689efcd7a579f874c72f289eb",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-16T11:31:50Z",
    "title_canon_sha256": "9794a5af6eb9f64c8e8c3178589669414096195dc75626fbabeac6899e06d85e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3607",
    "kind": "arxiv",
    "version": 2
  }
}