Pith Number

pith:5Z5UNYKK

pith:2012:5Z5UNYKKZV7FHBAY5YOLWRAT34

not attested not anchored not stored refs pending

Tits Geometry and Positive Curvature

Fuquan Fang, Gudlaugur Thorbergsson, Karsten Grove

arxiv:1205.6222 v3 · 2012-05-28 · math.DG · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Z5UNYKKZV7FHBAY5YOLWRAT34}

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	2026-05-18T01:11:05.449942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee7b46e14acd7e538418ee1cbb4413df3d6fbb342d7d3dfdfb3c9e8d1ef07c75

Aliases

arxiv: 1205.6222 · arxiv_version: 1205.6222v3 · doi: 10.48550/arxiv.1205.6222 · pith_short_12: 5Z5UNYKKZV7F · pith_short_16: 5Z5UNYKKZV7FHBAY · pith_short_8: 5Z5UNYKK

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/5Z5UNYKKZV7FHBAY5YOLWRAT34 \
  | 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: ee7b46e14acd7e538418ee1cbb4413df3d6fbb342d7d3dfdfb3c9e8d1ef07c75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e230cb47ef469a589d2bedec88a78781afc2c70f848d93934c57e5e9ed0abd67",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-28T22:07:28Z",
    "title_canon_sha256": "56340aa5b65d79128f08954bceabfa6ec126aa35d715e54c63df6a8c05a8efb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6222",
    "kind": "arxiv",
    "version": 3
  }
}