Pith Number

pith:WZRCHIHY

pith:2013:WZRCHIHYTZCUQ2LJSDBL2EL57V

not attested not anchored not stored refs pending

Biharmonic maps from a 2-sphere

Han-Chun Yang, Ye-Lin Ou, Ze-Ping Wang

arxiv:1310.0562 v2 · 2013-10-02 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZRCHIHYTZCUQ2LJSDBL2EL57V}

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	2026-05-18T01:47:16.696296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b66223a0f89e4548696990c2bd117dfd4c6e97212ccea25eed19462164d940e1

Aliases

arxiv: 1310.0562 · arxiv_version: 1310.0562v2 · doi: 10.48550/arxiv.1310.0562 · pith_short_12: WZRCHIHYTZCU · pith_short_16: WZRCHIHYTZCUQ2LJ · pith_short_8: WZRCHIHY

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/WZRCHIHYTZCUQ2LJSDBL2EL57V \
  | 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: b66223a0f89e4548696990c2bd117dfd4c6e97212ccea25eed19462164d940e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb26f6c587df656a13e702a822b3807bc8d0674915bc46baacf8a6ea7682db27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-02T04:08:44Z",
    "title_canon_sha256": "f4a7c2f665a5e47bda531cd90e5382a8f051023a7dab5a4dd834c6decc095e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0562",
    "kind": "arxiv",
    "version": 2
  }
}