Pith Number

pith:UDRA7YNS

pith:2015:UDRA7YNSHWI36TP4YJ74FU7FGW

not attested not anchored not stored refs pending

Biharmonic submanifolds of pseudo-Riemannian manifolds

Ye-Lin Ou, Yuxin Dong

arxiv:1512.02301 v1 · 2015-12-08 · 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{UDRA7YNSHWI36TP4YJ74FU7FGW}

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	2026-05-18T01:24:45.075496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0e20fe1b23d91bf4dfcc27fc2d3e5358358bd32ed297e3d5fd5e838994ecb8f

Aliases

arxiv: 1512.02301 · arxiv_version: 1512.02301v1 · doi: 10.48550/arxiv.1512.02301 · pith_short_12: UDRA7YNSHWI3 · pith_short_16: UDRA7YNSHWI36TP4 · pith_short_8: UDRA7YNS

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/UDRA7YNSHWI36TP4YJ74FU7FGW \
  | 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: a0e20fe1b23d91bf4dfcc27fc2d3e5358358bd32ed297e3d5fd5e838994ecb8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ce0e0395c9a62b9fa0cdc2279b45757ebe78882b2d9b6882580f6b44f898c51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-08T01:51:35Z",
    "title_canon_sha256": "23f6fa59cec2136ea48979a4ec76192bb08e600c557e2c6490b4122c84abbaca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02301",
    "kind": "arxiv",
    "version": 1
  }
}