Pith Number

pith:H3FSLE2T

pith:2004:H3FSLE2TZBVV6QBJ64XCKRBWLX

not attested not anchored not stored refs pending

Regularity and relaxed problems of minimizing biharmonic maps into spheres

Changyou Wang, Min-Chun Hong

arxiv:math/0405059 v1 · 2004-05-04 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3FSLE2TZBVV6QBJ64XCKRBWLX}

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	2026-05-18T04:28:28.140537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ecb259353c86b5f4029f72e2544365df90b003c5e46bdec33591eb37b92da61

Aliases

arxiv: math/0405059 · arxiv_version: math/0405059v1 · doi: 10.48550/arxiv.math/0405059 · pith_short_12: H3FSLE2TZBVV · pith_short_16: H3FSLE2TZBVV6QBJ · pith_short_8: H3FSLE2T

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/H3FSLE2TZBVV6QBJ64XCKRBWLX \
  | 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: 3ecb259353c86b5f4029f72e2544365df90b003c5e46bdec33591eb37b92da61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "043bd413f66f7e71b75adf940926d55fa0517358462e604d646a8bf2fe153c0f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2004-05-04T16:33:07Z",
    "title_canon_sha256": "72d2b4f36bd351b93479a0e10908f75acab28c5133b070c3313c91a95559a8cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405059",
    "kind": "arxiv",
    "version": 1
  }
}