Pith Number

pith:L5OZBCX5

pith:2016:L5OZBCX5VMBL46Q3Y7427EZN5R

not attested not anchored not stored refs pending

Linear measure and $K$-quasiconformal harmonic mappings

Gang Liu, Saminathan Ponnusamy, Shaolin Chen

arxiv:1612.00941 v1 · 2016-12-03 · 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{L5OZBCX5VMBL46Q3Y7427EZN5R}

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	2026-05-18T00:55:53.773400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5d908afdab02be7a1bc7f9af932dec65a7c4681dcfc2e642c084f677f1cf84

Aliases

arxiv: 1612.00941 · arxiv_version: 1612.00941v1 · doi: 10.48550/arxiv.1612.00941 · pith_short_12: L5OZBCX5VMBL · pith_short_16: L5OZBCX5VMBL46Q3 · pith_short_8: L5OZBCX5

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/L5OZBCX5VMBL46Q3Y7427EZN5R \
  | 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: 5f5d908afdab02be7a1bc7f9af932dec65a7c4681dcfc2e642c084f677f1cf84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce7f88ec904d4f3ff286d185f9040be10e1b88e3191ae7d329135c8b8641f25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-12-03T08:45:51Z",
    "title_canon_sha256": "652371b0df77f23ef6e07cf035b7d8ba088ab932e20edf99d925629296fdeed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00941",
    "kind": "arxiv",
    "version": 1
  }
}