Pith Number

pith:TXY2R4UW

pith:2013:TXY2R4UWDZRQEWIMQSHQ6WG3K6

not attested not anchored not stored refs pending

Partial hyperbolicity and specification

Kenichiro Yamamoto, Naoya Sumi, Paulo Varandas

arxiv:1307.1182 v1 · 2013-07-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXY2R4UWDZRQEWIMQSHQ6WG3K6}

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	2026-05-18T03:19:14.473150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df1a8f2961e6302590c848f0f58db57a3516f6a8812837968a1a1455d93aa90

Aliases

arxiv: 1307.1182 · arxiv_version: 1307.1182v1 · doi: 10.48550/arxiv.1307.1182 · pith_short_12: TXY2R4UWDZRQ · pith_short_16: TXY2R4UWDZRQEWIM · pith_short_8: TXY2R4UW

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/TXY2R4UWDZRQEWIMQSHQ6WG3K6 \
  | 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: 9df1a8f2961e6302590c848f0f58db57a3516f6a8812837968a1a1455d93aa90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "490bfa3318d8697db9c96135a1c4fc82ac5f5b4975f208ec72fb2d5c9c4a213f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-04T01:26:09Z",
    "title_canon_sha256": "8520f23e83f833e07ba80ab8944b5fac5ce701725a9ec148326f908973e59476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1182",
    "kind": "arxiv",
    "version": 1
  }
}