Pith Number

pith:D6XHAQN3

pith:2013:D6XHAQN3NMWMLCR7QA36WRBCCY

not attested not anchored not stored refs pending

Harmonic Maps with Potential from $\mathbb{R}^2$ into $S^2$

Ruiqi Jiang

arxiv:1301.1014 v1 · 2013-01-06 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6XHAQN3NMWMLCR7QA36WRBCCY}

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	2026-05-18T03:37:07.006000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fae7041bb6b2cc58a3f8037eb44221629ed2a25a258a8e6cf3f76d403f0b3cd

Aliases

arxiv: 1301.1014 · arxiv_version: 1301.1014v1 · doi: 10.48550/arxiv.1301.1014 · pith_short_12: D6XHAQN3NMWM · pith_short_16: D6XHAQN3NMWMLCR7 · pith_short_8: D6XHAQN3

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/D6XHAQN3NMWMLCR7QA36WRBCCY \
  | 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: 1fae7041bb6b2cc58a3f8037eb44221629ed2a25a258a8e6cf3f76d403f0b3cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d9a02096b147b32c6d8eb695c1bb8e702aa30174ee47e1693616c118c4c9424",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-06T15:43:10Z",
    "title_canon_sha256": "41e525d6938f93718a5958878e9ba0e463cf712d63dc84e9a7929102461bd322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1014",
    "kind": "arxiv",
    "version": 1
  }
}