Pith Number

pith:KF6QEVHI

pith:2015:KF6QEVHIXSJXLWG3MQ75HSKTQ2

not attested not anchored not stored refs pending

Some recent progress of biharmonic submanifolds

Ye-Lin Ou

arxiv:1511.09103 v1 · 2015-11-29 · 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{KF6QEVHIXSJXLWG3MQ75HSKTQ2}

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	2026-05-18T01:25:41.127998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

517d0254e8bc9375d8db643fd3c95386bd60e431a6ba7987eec0ba9aca735885

Aliases

arxiv: 1511.09103 · arxiv_version: 1511.09103v1 · doi: 10.48550/arxiv.1511.09103 · pith_short_12: KF6QEVHIXSJX · pith_short_16: KF6QEVHIXSJXLWG3 · pith_short_8: KF6QEVHI

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/KF6QEVHIXSJXLWG3MQ75HSKTQ2 \
  | 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: 517d0254e8bc9375d8db643fd3c95386bd60e431a6ba7987eec0ba9aca735885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa97a93a5e8d17f1e823c4adcc2169957f91d85490f5c06d8c07ff0f518a7dd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-29T22:25:40Z",
    "title_canon_sha256": "483a257034e83c7e22624a3aed8efc97cb886b7b8d8cbdd48dfc0e906ec3bb37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09103",
    "kind": "arxiv",
    "version": 1
  }
}