Pith Number

pith:ZGZ36PBK

pith:2005:ZGZ36PBK7JHCJQMON63VOLGT7I

not attested not anchored not stored refs pending

Deforming Euclidean cone 3-manifolds

Hartmut Weiss, Joan Porti

arxiv:math/0510432 v2 · 2005-10-20 · 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{ZGZ36PBK7JHCJQMON63VOLGT7I}

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	2026-05-18T02:37:59.701389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b3bf3c2afa4e24c18e6fb7572cd3fa1ef4a64fa53da9327765eef45baf3284

Aliases

arxiv: math/0510432 · arxiv_version: math/0510432v2 · doi: 10.48550/arxiv.math/0510432 · pith_short_12: ZGZ36PBK7JHC · pith_short_16: ZGZ36PBK7JHCJQMO · pith_short_8: ZGZ36PBK

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/ZGZ36PBK7JHCJQMON63VOLGT7I \
  | 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: c9b3bf3c2afa4e24c18e6fb7572cd3fa1ef4a64fa53da9327765eef45baf3284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7261fa306548dea07a4047780617f3a5f04e977c09d804b5a927e16e4f96f32",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-10-20T08:50:59Z",
    "title_canon_sha256": "f34e3ca098c765963b87ab02caf69ab4177af0895d45f59c174b26f2412d0df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510432",
    "kind": "arxiv",
    "version": 2
  }
}