Pith Number

pith:SBBGKGWZ

pith:2025:SBBGKGWZDADAUFCREJ6RVDB5BX

not attested not anchored not stored refs pending

Understanding the well-rounded deformation retraction of Teichm\"uller space

Ingrid Irmer

arxiv:2509.06339 v1 · 2025-09-08 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBBGKGWZDADAUFCREJ6RVDB5BX}

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.

Cited by

1 paper in Pith

The diameter function is a topological Morse function

Receipt and verification

First computed	2026-07-05T12:06:33.995217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9042651ad918060a1451227d1a8c3d0dfc00cc3a6f153c6a569aa7e96958d885

Aliases

arxiv: 2509.06339 · arxiv_version: 2509.06339v1 · doi: 10.48550/arxiv.2509.06339 · pith_short_12: SBBGKGWZDADA · pith_short_16: SBBGKGWZDADAUFCR · pith_short_8: SBBGKGWZ

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/SBBGKGWZDADAUFCREJ6RVDB5BX \
  | 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: 9042651ad918060a1451227d1a8c3d0dfc00cc3a6f153c6a569aa7e96958d885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f377e7a82335b55f1c23b99b1a05507128279c3d4f780061449a164c3a55faf",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-09-08T05:01:05Z",
    "title_canon_sha256": "29f7a09da0d827b12bf86ed0863af9e2f87613b59eeee907d5ef51204289125b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06339",
    "kind": "arxiv",
    "version": 1
  }
}