Pith Number

pith:OCNSDCK4

pith:2018:OCNSDCK4AZ74WLGEYM3JCYKLFA

not attested not anchored not stored refs pending

Biharmonic wave maps into spheres

Roland Schnaubelt, Sebastian Herr, Tobias Lamm

arxiv:1812.03718 v2 · 2018-12-10 · math.AP · 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{OCNSDCK4AZ74WLGEYM3JCYKLFA}

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	2026-07-05T00:27:42.461678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

709b21895c067fcb2cc4c33691614b281827735c5f146379350410c13b81f1f0

Aliases

arxiv: 1812.03718 · arxiv_version: 1812.03718v2 · doi: 10.48550/arxiv.1812.03718 · pith_short_12: OCNSDCK4AZ74 · pith_short_16: OCNSDCK4AZ74WLGE · pith_short_8: OCNSDCK4

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/OCNSDCK4AZ74WLGEYM3JCYKLFA \
  | 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: 709b21895c067fcb2cc4c33691614b281827735c5f146379350410c13b81f1f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15cd2fe4fdde52f805cdbf9e78cb236c4f601a43f57929c969370ea4c0973d1b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-10T10:22:00Z",
    "title_canon_sha256": "6f9c4de08a41547941e55b9e9466d692fd4c64c774bbcd0932f1a28359c82411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03718",
    "kind": "arxiv",
    "version": 2
  }
}