Pith Number

pith:CG3AJ5FF

pith:2013:CG3AJ5FFUBASMX47BBYRO5N3PD

not attested not anchored not stored refs pending

Recent developments of biharmonic conjecture and modified biharmonic conjectures

Bang-Yen Chen

arxiv:1307.0245 v3 · 2013-06-30 · 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{CG3AJ5FFUBASMX47BBYRO5N3PD}

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	2026-05-18T03:18:28.651942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b604f4a5a041265f9f08711775bb78d017bac84d10057434a590851f94c82f

Aliases

arxiv: 1307.0245 · arxiv_version: 1307.0245v3 · doi: 10.48550/arxiv.1307.0245 · pith_short_12: CG3AJ5FFUBAS · pith_short_16: CG3AJ5FFUBASMX47 · pith_short_8: CG3AJ5FF

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/CG3AJ5FFUBASMX47BBYRO5N3PD \
  | 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: 11b604f4a5a041265f9f08711775bb78d017bac84d10057434a590851f94c82f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "816749a6a8c609f380f1325fc6c2e283d450c9ee8c49873aa93dc12b7b73660f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-30T21:09:58Z",
    "title_canon_sha256": "bff898ebf56ea6ceee0fed7a8c530f9cc04284ac8e00466b0ec3765c80733c35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0245",
    "kind": "arxiv",
    "version": 3
  }
}