Pith Number

pith:SUHIX2KM

pith:2013:SUHIX2KMWHQ52PBP452QJ5IRNO

not attested not anchored not stored refs pending

Polyharmonic maps into the Euclidean space

Hajime Urakawa, Nobumitsu Nakauchi

arxiv:1307.5089 v2 · 2013-07-18 · 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{SUHIX2KMWHQ52PBP452QJ5IRNO}

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	2026-05-18T03:16:48.840362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

950e8be94cb1e1dd3c2fe77504f5116b9a2383bec16537eda661cda35521cda1

Aliases

arxiv: 1307.5089 · arxiv_version: 1307.5089v2 · doi: 10.48550/arxiv.1307.5089 · pith_short_12: SUHIX2KMWHQ5 · pith_short_16: SUHIX2KMWHQ52PBP · pith_short_8: SUHIX2KM

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/SUHIX2KMWHQ52PBP452QJ5IRNO \
  | 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: 950e8be94cb1e1dd3c2fe77504f5116b9a2383bec16537eda661cda35521cda1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "071a2c1f0da5bb2712d1bffa992235c2a6009f7c1f6e2a2d60a24b3a87d9932d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-18T21:53:18Z",
    "title_canon_sha256": "8c26603ae944658e84c54afa7c3b1668060c0f186b7b6f06089db85c4d3e9328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5089",
    "kind": "arxiv",
    "version": 2
  }
}