Pith Number

pith:CX77CGWS

pith:2012:CX77CGWS2ISC6Z7WRVJJCP2GFK

not attested not anchored not stored refs pending

Interior curvature estimates and the asymptotic plateau problem in hyperbolic space

Bo Guan, Joel Spruck, Ling Xiao

arxiv:1209.4601 v1 · 2012-09-20 · 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{CX77CGWS2ISC6Z7WRVJJCP2GFK}

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	2026-05-18T03:45:11.212579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15fff11ad2d2242f67f68d52913f462a91b7d8b11ad2f4f0c97e6c1e11f86d59

Aliases

arxiv: 1209.4601 · arxiv_version: 1209.4601v1 · doi: 10.48550/arxiv.1209.4601 · pith_short_12: CX77CGWS2ISC · pith_short_16: CX77CGWS2ISC6Z7W · pith_short_8: CX77CGWS

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/CX77CGWS2ISC6Z7WRVJJCP2GFK \
  | 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: 15fff11ad2d2242f67f68d52913f462a91b7d8b11ad2f4f0c97e6c1e11f86d59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c233e24a8cabcd01649e88244ff3d9090cdf243d622ad50d94aaf14a8c17c614",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-20T18:37:52Z",
    "title_canon_sha256": "8f283bcba882d6dc0f12b8d5f1af91ca959dc0882ca9d73f77badef3dfe2c8e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4601",
    "kind": "arxiv",
    "version": 1
  }
}