Pith Number

pith:6JDOWSFG

pith:2025:6JDOWSFGR4755YPUUSGGTUTBK5

not attested not anchored not stored refs pending

Harmonic maps to Hadamard spaces and a universal higher Teichm\"{u}ller space

J. Maxwell Riestenberg, Peter Smillie

arxiv:2511.11469 v3 · 2025-11-14 · math.DG · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JDOWSFGR4755YPUUSGGTUTBK5}

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	2026-06-23T03:13:51.302358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f246eb48a68f3fdee1f4a48c69d2615755ca62d9d38b29fb088ff65d526057c3

Aliases

arxiv: 2511.11469 · arxiv_version: 2511.11469v3 · doi: 10.48550/arxiv.2511.11469 · pith_short_12: 6JDOWSFGR475 · pith_short_16: 6JDOWSFGR4755YPU · pith_short_8: 6JDOWSFG

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/6JDOWSFGR4755YPUUSGGTUTBK5 \
  | 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: f246eb48a68f3fdee1f4a48c69d2615755ca62d9d38b29fb088ff65d526057c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c30d77c209b44e8678af1bb512f51bee7ea53dc21ed45d0a3d3f4dbebe1ee7d",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-11-14T16:41:49Z",
    "title_canon_sha256": "1d3114e630a55891e6133bcf46b5df5dc992f5b7b7ab50a61771938561c73773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.11469",
    "kind": "arxiv",
    "version": 3
  }
}