Pith Number

pith:GVK7XAGF

pith:2015:GVK7XAGFJUCVIYCJ2KKP6LFCN6

not attested not anchored not stored refs pending

Biharmonic homogeneous hypersurfaces in compact symmetric spaces

Hajime Urakawa, Shinji Ohno, Takashi Sakai

arxiv:1507.01738 v1 · 2015-07-07 · 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{GVK7XAGFJUCVIYCJ2KKP6LFCN6}

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	2026-05-18T01:37:12.526913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3555fb80c54d05546049d294ff2ca26f98a86fb6db1c05633d05fad709cb247b

Aliases

arxiv: 1507.01738 · arxiv_version: 1507.01738v1 · doi: 10.48550/arxiv.1507.01738 · pith_short_12: GVK7XAGFJUCV · pith_short_16: GVK7XAGFJUCVIYCJ · pith_short_8: GVK7XAGF

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/GVK7XAGFJUCVIYCJ2KKP6LFCN6 \
  | 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: 3555fb80c54d05546049d294ff2ca26f98a86fb6db1c05633d05fad709cb247b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "738810caec87934030205cf12d005a5e9de9b05e1e2f14d305bd4ed9500d7f78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-07T10:22:34Z",
    "title_canon_sha256": "919c49c8a7181a5d575c82c8666fc3cda71dc4d4c7642681516bbab626ea8e88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01738",
    "kind": "arxiv",
    "version": 1
  }
}