Pith. sign in
Pith Number

pith:2PIP6EXC

pith:2024:2PIP6EXCMZPJBDRLGKQMGG47WX
not attested not anchored not stored refs pending

The Surface Signature and Rough Surfaces

Darrick Lee

arxiv:2406.16857 v2 · 2024-06-24 · math.FA · math.AT · math.CT · math.DG · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2PIP6EXCMZPJBDRLGKQMGG47WX}

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

Receipt and verification
First computed 2026-07-05T08:50:57.238852Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d3d0ff12e2665e908e2b32a0c31b9fb5ecbea166a34126343b80692237229d86

Aliases

arxiv: 2406.16857 · arxiv_version: 2406.16857v2 · doi: 10.48550/arxiv.2406.16857 · pith_short_12: 2PIP6EXCMZPJ · pith_short_16: 2PIP6EXCMZPJBDRL · pith_short_8: 2PIP6EXC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2PIP6EXCMZPJBDRLGKQMGG47WX \
  | 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: d3d0ff12e2665e908e2b32a0c31b9fb5ecbea166a34126343b80692237229d86
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1c8d2c124fb4e7e4861a511f708faaa9c34e0863bde99df894534e5ae2550a20",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.DG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-06-24T17:59:09Z",
    "title_canon_sha256": "9eb7a501d4fa9900b197b89ee1e6ffd31cffc8048389b2bd8601bcfdd8ed4b65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.16857",
    "kind": "arxiv",
    "version": 2
  }
}