Pith Number

pith:GYKOS2X4

pith:2011:GYKOS2X4KA4EASGT7DDSQHJXP7

not attested not anchored not stored refs pending

Four-orbifolds with positive isotropic curvature

Hong Huang

arxiv:1107.1469 v7 · 2011-07-07 · 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{GYKOS2X4KA4EASGT7DDSQHJXP7}

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	2026-05-18T01:21:33.016896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3614e96afc50384048d3f8c7281d377fda300a84aaa7e45be960e34e712e7a57

Aliases

arxiv: 1107.1469 · arxiv_version: 1107.1469v7 · doi: 10.48550/arxiv.1107.1469 · pith_short_12: GYKOS2X4KA4E · pith_short_16: GYKOS2X4KA4EASGT · pith_short_8: GYKOS2X4

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/GYKOS2X4KA4EASGT7DDSQHJXP7 \
  | 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: 3614e96afc50384048d3f8c7281d377fda300a84aaa7e45be960e34e712e7a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aace973fc2bd134b11940184b63d678f88b06487c4c329766535e39779717fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-07T18:07:57Z",
    "title_canon_sha256": "31495a4231009feffdb8851f1ef653c68a49f537ba08d2128266d5e5716a45af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1469",
    "kind": "arxiv",
    "version": 7
  }
}