Pith Number

pith:URJ25DLT

pith:2022:URJ25DLTJZ75HFDFCBROMJX5BL

not attested not anchored not stored refs pending

Unstable minimal surfaces in symmetric spaces of non-compact type

Nathaniel Sagman, Peter Smillie

arxiv:2208.04885 v2 · 2022-08-09 · 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{URJ25DLTJZ75HFDFCBROMJX5BL}

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

Complex harmonic maps and rank 2 higher Teichm\"uller theory

Receipt and verification

First computed	2026-07-05T10:07:21.945148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a453ae8d734e7fd394651062e626fd0aff2bedc3787dc0ef1081938a34ee1755

Aliases

arxiv: 2208.04885 · arxiv_version: 2208.04885v2 · doi: 10.48550/arxiv.2208.04885 · pith_short_12: URJ25DLTJZ75 · pith_short_16: URJ25DLTJZ75HFDF · pith_short_8: URJ25DLT

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/URJ25DLTJZ75HFDFCBROMJX5BL \
  | 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: a453ae8d734e7fd394651062e626fd0aff2bedc3787dc0ef1081938a34ee1755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f38946a0923641c930080f400076df8662fc868a33345e0cf575628b5fa4a2e8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-08-09T16:27:32Z",
    "title_canon_sha256": "d6effc2a6748a6949c5ac1eaa9af641cfbea4cc199c7dd7af76cbb7c21eb2499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.04885",
    "kind": "arxiv",
    "version": 2
  }
}