Pith Number

pith:IMM3NWR6

pith:2013:IMM3NWR6DDI6OK74ETGVT7OHFE

not attested not anchored not stored refs pending

Clifford-Wolf homogeneous Finsler metrics on spheres

Ming Xu, ShaoQiang Deng

arxiv:1312.0747 v1 · 2013-12-03 · 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{IMM3NWR6DDI6OK74ETGVT7OHFE}

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	2026-05-18T03:05:36.799462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4319b6da3e18d1e72bfc24cd59fdc7290c0b37115c978ad6c6d53ce08ada0121

Aliases

arxiv: 1312.0747 · arxiv_version: 1312.0747v1 · doi: 10.48550/arxiv.1312.0747 · pith_short_12: IMM3NWR6DDI6 · pith_short_16: IMM3NWR6DDI6OK74 · pith_short_8: IMM3NWR6

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/IMM3NWR6DDI6OK74ETGVT7OHFE \
  | 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: 4319b6da3e18d1e72bfc24cd59fdc7290c0b37115c978ad6c6d53ce08ada0121

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b0aec58b729ee3f6aa55c7abdf323fccc72055582014cd44c8f50b841aec4dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-03T09:32:18Z",
    "title_canon_sha256": "63d2f0fed6141e88cbbfc8021318ad0938a87d8c504c1a7b30fcf523a088b14e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0747",
    "kind": "arxiv",
    "version": 1
  }
}