Pith Number

pith:WHJ5X4PX

pith:2017:WHJ5X4PXCTBKP46TCBUS35LXBE

not attested not anchored not stored refs pending

Hessian of Busemann functions and rank of Hadamard manifolds

Hiroyasu Satoh, JeongHyeong Park, Mitsuhiro Itoh, Sinwhi Kim

arxiv:1702.03646 v1 · 2017-02-13 · 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{WHJ5X4PXCTBKP46TCBUS35LXBE}

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	2026-05-18T00:50:53.298576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d3dbf1f714c2a7f3d310692df577093f75fe60ca65273ef0c451c6c7b7a80f

Aliases

arxiv: 1702.03646 · arxiv_version: 1702.03646v1 · doi: 10.48550/arxiv.1702.03646 · pith_short_12: WHJ5X4PXCTBK · pith_short_16: WHJ5X4PXCTBKP46T · pith_short_8: WHJ5X4PX

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/WHJ5X4PXCTBKP46TCBUS35LXBE \
  | 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: b1d3dbf1f714c2a7f3d310692df577093f75fe60ca65273ef0c451c6c7b7a80f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3523e82c7a55c2e6c18f0e4070d4ff0feaab8afc9b6f61556906e32dbd6bf04a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-02-13T06:20:11Z",
    "title_canon_sha256": "b4bc08b82a62d845c5608e426699376aa7a5d8596054d888e51881f6a5c0d173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03646",
    "kind": "arxiv",
    "version": 1
  }
}