Pith Number

pith:5GSIVJN5

pith:2013:5GSIVJN54TY2CROCRM2ZGSHVPU

not attested not anchored not stored refs pending

The rigidity of some finite group actions on CAT($\kappa$) spaces

Khek Lun Harold Chao

arxiv:1303.1801 v3 · 2013-03-07 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GSIVJN54TY2CROCRM2ZGSHVPU}

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	2026-05-18T02:55:18.571179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a48aa5bde4f1a145c28b359348f57d2eabf3deabf5a7374a3cd690792f27dc

Aliases

arxiv: 1303.1801 · arxiv_version: 1303.1801v3 · doi: 10.48550/arxiv.1303.1801 · pith_short_12: 5GSIVJN54TY2 · pith_short_16: 5GSIVJN54TY2CROC · pith_short_8: 5GSIVJN5

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/5GSIVJN54TY2CROCRM2ZGSHVPU \
  | 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: e9a48aa5bde4f1a145c28b359348f57d2eabf3deabf5a7374a3cd690792f27dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb12eb12083979da7f27f7565f46b51c1f80a6d51307237cdc1bea5b936ddc0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-03-07T20:26:52Z",
    "title_canon_sha256": "0df90135330f047e5afcba0f088c385f0ce2133c67449809f019d01d0724c7a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1801",
    "kind": "arxiv",
    "version": 3
  }
}