Pith Number

pith:W54OBTDP

pith:2015:W54OBTDPQZ5KYNPA7TFQOS4PTH

not attested not anchored not stored refs pending

On the topology of the space of pinched negatively curved metrics with finite volume and identical ends

Mauricio Bustamante

arxiv:1508.03553 v3 · 2015-08-14 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W54OBTDPQZ5KYNPA7TFQOS4PTH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:45:08.657307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b778e0cc6f867aac35e0fccb074b8f99d0f40a4bd4230a6614ec45dd39ac1130

Aliases

arxiv: 1508.03553 · arxiv_version: 1508.03553v3 · doi: 10.48550/arxiv.1508.03553 · pith_short_12: W54OBTDPQZ5K · pith_short_16: W54OBTDPQZ5KYNPA · pith_short_8: W54OBTDP

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/W54OBTDPQZ5KYNPA7TFQOS4PTH \
  | 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: b778e0cc6f867aac35e0fccb074b8f99d0f40a4bd4230a6614ec45dd39ac1130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1d626318088ed5c6d446f683616dae7c4949aafbe723a29ac6422adc1f98579",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-14T15:58:44Z",
    "title_canon_sha256": "f58ef6c31f9e2674656020921628687fc59c7d0b79e0b156621dafaba072fe77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03553",
    "kind": "arxiv",
    "version": 3
  }
}