Pith Number

pith:P5PWJQ6P

pith:2013:P5PWJQ6PFVBUGMXI5BMI7FMEIJ

not attested not anchored not stored refs pending

On polyharmonic univalent mappings

Antti Rasila, Jiaolong Chen, Xiantao Wang

arxiv:1302.2018 v1 · 2013-02-08 · 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{P5PWJQ6PFVBUGMXI5BMI7FMEIJ}

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	2026-05-18T02:49:39.075869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f5f64c3cf2d434332e8e8588f9584427a403491fa117facaa0e93dc71b889f8

Aliases

arxiv: 1302.2018 · arxiv_version: 1302.2018v1 · doi: 10.48550/arxiv.1302.2018 · pith_short_12: P5PWJQ6PFVBU · pith_short_16: P5PWJQ6PFVBUGMXI · pith_short_8: P5PWJQ6P

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/P5PWJQ6PFVBUGMXI5BMI7FMEIJ \
  | 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: 7f5f64c3cf2d434332e8e8588f9584427a403491fa117facaa0e93dc71b889f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65e9b73abcdfb42a2f60e2a03718072100a52d72729dc5e394757c659e8bea77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-02-08T12:50:24Z",
    "title_canon_sha256": "36688397e646a8001260a0d9bf46198d275097c369e3d06a5645879859075b5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2018",
    "kind": "arxiv",
    "version": 1
  }
}