Pith Number

pith:HATLICU2

pith:2011:HATLICU2MXI5JRP37JVXUXGISR

not attested not anchored not stored refs pending

Acyclic embeddings of open Riemann surfaces into new examples of elliptic manifolds

Tyson Ritter

arxiv:1107.0102 v1 · 2011-07-01 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HATLICU2MXI5JRP37JVXUXGISR}

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	2026-05-18T04:19:02.652674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3826b40a9a65d1d4c5fbfa6b7a5cc89456eed3aa22a25ecb53836d2940b1578f

Aliases

arxiv: 1107.0102 · arxiv_version: 1107.0102v1 · doi: 10.48550/arxiv.1107.0102 · pith_short_12: HATLICU2MXI5 · pith_short_16: HATLICU2MXI5JRP3 · pith_short_8: HATLICU2

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/HATLICU2MXI5JRP37JVXUXGISR \
  | 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: 3826b40a9a65d1d4c5fbfa6b7a5cc89456eed3aa22a25ecb53836d2940b1578f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520dbe64edd4e3e3e5997831cb4c6733b734ca39457b2e3d0fe5492b1e719b27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-07-01T04:42:33Z",
    "title_canon_sha256": "df1c6f4f75f53c46646ebe7d30c391e30a8f9edacdff657104872465bc4d6c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0102",
    "kind": "arxiv",
    "version": 1
  }
}