Pith Number

pith:HPNN4RQT

pith:2016:HPNN4RQT5ARAHNKMNCUZ6K7C7U

not attested not anchored not stored refs pending

Biharmonic submanifolds of generalized space forms

Abhitosh Upadhyay, Julien Roth

arxiv:1602.06131 v1 · 2016-02-19 · 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{HPNN4RQT5ARAHNKMNCUZ6K7C7U}

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	2026-05-18T00:50:22.622408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bdade4613e82203b54c68a99f2be2fd140e325f7b05af7632383a4f7bc97871

Aliases

arxiv: 1602.06131 · arxiv_version: 1602.06131v1 · doi: 10.48550/arxiv.1602.06131 · pith_short_12: HPNN4RQT5ARA · pith_short_16: HPNN4RQT5ARAHNKM · pith_short_8: HPNN4RQT

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/HPNN4RQT5ARAHNKMNCUZ6K7C7U \
  | 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: 3bdade4613e82203b54c68a99f2be2fd140e325f7b05af7632383a4f7bc97871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff94963bc2f5970a21234ae45deeb2003501f031401504f855bfd23f3141742f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-19T12:56:51Z",
    "title_canon_sha256": "3ff9a960f576a2cb724d9457a252a8a9493e8705b5dde6b2e12b3fc9205d567d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06131",
    "kind": "arxiv",
    "version": 1
  }
}