Pith Number

pith:I5CJBCF5

pith:2012:I5CJBCF5XKTS4DI66HOGE73EYK

not attested not anchored not stored refs pending

Balls in complex hyperbolic manifolds

Baohua Xie, Jieyan Wang, Yueping Jiang

arxiv:1203.3610 v2 · 2012-03-16 · 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{I5CJBCF5XKTS4DI66HOGE73EYK}

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	2026-05-18T03:28:54.003996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47449088bdbaa72e0d1ef1dc627f64c28811214d7239fd995c0fbdec086ca5e0

Aliases

arxiv: 1203.3610 · arxiv_version: 1203.3610v2 · doi: 10.48550/arxiv.1203.3610 · pith_short_12: I5CJBCF5XKTS · pith_short_16: I5CJBCF5XKTS4DI6 · pith_short_8: I5CJBCF5

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/I5CJBCF5XKTS4DI66HOGE73EYK \
  | 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: 47449088bdbaa72e0d1ef1dc627f64c28811214d7239fd995c0fbdec086ca5e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fda67f362c2a7931ea6448b68346455725289da9f4fb04f599da299a042f707",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-16T03:28:43Z",
    "title_canon_sha256": "e00950fe0cc09a976c9fbe980c1a5f407ec860ef3655b2bc098129fb29672d02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3610",
    "kind": "arxiv",
    "version": 2
  }
}