Pith Number

pith:67UAUXJK

pith:2026:67UAUXJKWG5ZH3FPMH2D3SEP3W

not attested not anchored not stored refs pending

Renormalized area of minimal surfaces in hyperbolic space

Aaron J. Tyrrell, Khoi Nguyen, Matthew J. Gursky

arxiv:2606.17190 v1 · 2026-06-15 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67UAUXJKWG5ZH3FPMH2D3SEP3W}

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	2026-06-19T16:10:05.492024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e80a5d2ab1bb93ecaf61f43dc88fddbf64c4cf4fe626c4bcecb95650192071

Aliases

arxiv: 2606.17190 · arxiv_version: 2606.17190v1 · doi: 10.48550/arxiv.2606.17190 · pith_short_12: 67UAUXJKWG5Z · pith_short_16: 67UAUXJKWG5ZH3FP · pith_short_8: 67UAUXJK

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/67UAUXJKWG5ZH3FPMH2D3SEP3W \
  | 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: f7e80a5d2ab1bb93ecaf61f43dc88fddbf64c4cf4fe626c4bcecb95650192071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcc9eeae2497ea7029f70e75434019ce17ac1d6f14efb19b854e552805231b9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-15T18:29:24Z",
    "title_canon_sha256": "b8d62c67c94599b64514871afca5bac4a7cb5bb1f76eb33a69d1d7474927714c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17190",
    "kind": "arxiv",
    "version": 1
  }
}