Pith Number

pith:IVGWHRYX

pith:2010:IVGWHRYX3G6ZKZJT64UULNRJXR

not attested not anchored not stored refs pending

Surface quotients of hyperbolic buildings

Anne Thomas, David Futer

arxiv:1007.5140 v2 · 2010-07-29 · math.GR · 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{IVGWHRYX3G6ZKZJT64UULNRJXR}

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	2026-05-18T04:03:54.708986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

454d63c717d9bd956533f72945b629bc4c370a21222946f575075c577edb022c

Aliases

arxiv: 1007.5140 · arxiv_version: 1007.5140v2 · doi: 10.48550/arxiv.1007.5140 · pith_short_12: IVGWHRYX3G6Z · pith_short_16: IVGWHRYX3G6ZKZJT · pith_short_8: IVGWHRYX

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/IVGWHRYX3G6ZKZJT64UULNRJXR \
  | 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: 454d63c717d9bd956533f72945b629bc4c370a21222946f575075c577edb022c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b98da0f39b0ac685de25bfa45431a848ce6857b61eb9ee427031b40745e215b4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-07-29T07:58:17Z",
    "title_canon_sha256": "92d9ffbe2c9700d3eb42673bda875c9ef666d1f06584459b680fc194d3e68aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5140",
    "kind": "arxiv",
    "version": 2
  }
}