Pith Number

pith:U5OUJKZA

pith:2016:U5OUJKZAUROVFIXULLCER2LMMT

not attested not anchored not stored refs pending

f-Biharmonic maps and f-biharmonic submanifolds II

Ye-Lin Ou

arxiv:1605.00128 v1 · 2016-04-30 · 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{U5OUJKZAUROVFIXULLCER2LMMT}

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	2026-05-18T01:15:56.714014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a75d44ab20a45d52a2f45ac448e96c64f4e7855a1896dcc9bb20fa4472fc697a

Aliases

arxiv: 1605.00128 · arxiv_version: 1605.00128v1 · doi: 10.48550/arxiv.1605.00128 · pith_short_12: U5OUJKZAUROV · pith_short_16: U5OUJKZAUROVFIXU · pith_short_8: U5OUJKZA

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/U5OUJKZAUROVFIXULLCER2LMMT \
  | 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: a75d44ab20a45d52a2f45ac448e96c64f4e7855a1896dcc9bb20fa4472fc697a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6531d08747e7a4d8c7cc0507f0eef35a43be0329b22c3bf8df5d7bef7ada758",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-30T15:45:12Z",
    "title_canon_sha256": "71136412ec2b3f44ec39dc5d2a30de50369da755fe423ad25d0c7baddaef1a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00128",
    "kind": "arxiv",
    "version": 1
  }
}