Pith Number

pith:BZYXRK2V

pith:2002:BZYXRK2VKUV6RSTHAZYBWHJVEX

not attested not anchored not stored refs pending

Hyperbolic manifolds with convex boundary

Jean-Marc Schlenker

arxiv:math/0205305 v5 · 2002-05-29 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZYXRK2VKUV6RSTHAZYBWHJVEX}

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	2026-05-18T01:38:29.567116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e7178ab55552be8ca6706701b1d3525e6902df18987a2d9cd64638bb7f7868f

Aliases

arxiv: math/0205305 · arxiv_version: math/0205305v5 · doi: 10.48550/arxiv.math/0205305 · pith_short_12: BZYXRK2VKUV6 · pith_short_16: BZYXRK2VKUV6RSTH · pith_short_8: BZYXRK2V

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/BZYXRK2VKUV6RSTHAZYBWHJVEX \
  | 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: 0e7178ab55552be8ca6706701b1d3525e6902df18987a2d9cd64638bb7f7868f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b56d2a8ff6f385b78045980a3bb82d85aa9b2f1626e48da448c866ea184bd4d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-05-29T09:15:39Z",
    "title_canon_sha256": "75d51c7d9f8afbc0e30fbaebc7cc9470c462583b25ad0c5bc9e10c1d3c6d687c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205305",
    "kind": "arxiv",
    "version": 5
  }
}