Pith Number

pith:RNNRIPJO

pith:2015:RNNRIPJOMP5E2YIVV2OHE5MAM5

not attested not anchored not stored refs pending

The associated families of semi-homogeneous complete hyperbolic affine spheres

Erxiao Wang, Zhicheng Lin

arxiv:1504.02551 v1 · 2015-04-10 · 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{RNNRIPJOMP5E2YIVV2OHE5MAM5}

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	2026-05-18T02:19:07.398602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b5b143d2e63fa4d6115ae9c727580674fdfe69e49569fbb942eb1939c2b91b9

Aliases

arxiv: 1504.02551 · arxiv_version: 1504.02551v1 · doi: 10.48550/arxiv.1504.02551 · pith_short_12: RNNRIPJOMP5E · pith_short_16: RNNRIPJOMP5E2YIV · pith_short_8: RNNRIPJO

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/RNNRIPJOMP5E2YIVV2OHE5MAM5 \
  | 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: 8b5b143d2e63fa4d6115ae9c727580674fdfe69e49569fbb942eb1939c2b91b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d7344737f9bc387045552d69d278a4efbc33faa97ff6c543439c64d25c2a803",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-10T05:10:19Z",
    "title_canon_sha256": "f1da3c70f348ccaa1a1eee7bfeaa17f2a851090bb0cbb88672839741273ce33d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02551",
    "kind": "arxiv",
    "version": 1
  }
}