Pith Number

pith:743O6ECZ

pith:2013:743O6ECZWXKRKTBM42CCCA56HD

not attested not anchored not stored refs pending

On f-biharmonic maps and f-biharmonic submanifolds

Ye-Lin Ou

arxiv:1306.3549 v1 · 2013-06-15 · 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{743O6ECZWXKRKTBM42CCCA56HD}

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	2026-05-18T01:22:25.274764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff36ef1059b5d5154c2ce6842103be38e0782c764f418adbe71347a7d3883f87

Aliases

arxiv: 1306.3549 · arxiv_version: 1306.3549v1 · doi: 10.48550/arxiv.1306.3549 · pith_short_12: 743O6ECZWXKR · pith_short_16: 743O6ECZWXKRKTBM · pith_short_8: 743O6ECZ

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/743O6ECZWXKRKTBM42CCCA56HD \
  | 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: ff36ef1059b5d5154c2ce6842103be38e0782c764f418adbe71347a7d3883f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74a6252da63e67625290d8b10e31fb00d89864db61cbb41e25b50b9ac90cc7f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-15T05:29:16Z",
    "title_canon_sha256": "1fa670ce98ab7b43026a12df80008adb5fd306d1fa27f44eb9a94957c91e8ca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3549",
    "kind": "arxiv",
    "version": 1
  }
}