Pith Number

pith:RSRDTSHA

pith:2017:RSRDTSHARTZV5IYI3PM7ONP5WP

not attested not anchored not stored refs pending

On the Martin boundary of rank 1 manifolds with nonpositive curvature

Ran Ji

arxiv:1706.04452 v3 · 2017-06-14 · 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{RSRDTSHARTZV5IYI3PM7ONP5WP}

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	2026-05-18T00:30:16.712369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ca239c8e08cf35ea308dbd9f735fdb3d864ed103f03a3fb16f919d28c72f370

Aliases

arxiv: 1706.04452 · arxiv_version: 1706.04452v3 · doi: 10.48550/arxiv.1706.04452 · pith_short_12: RSRDTSHARTZV · pith_short_16: RSRDTSHARTZV5IYI · pith_short_8: RSRDTSHA

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/RSRDTSHARTZV5IYI3PM7ONP5WP \
  | 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: 8ca239c8e08cf35ea308dbd9f735fdb3d864ed103f03a3fb16f919d28c72f370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d9b20ea5e8e7f4db28cc10685ef2e132cecf87ad1c497d470b44f830f73467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-06-14T12:43:43Z",
    "title_canon_sha256": "48594ce1a0f48006ff47735621491f436046ea1719e970c68fdf083bd4120631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04452",
    "kind": "arxiv",
    "version": 3
  }
}