Pith Number

pith:56RQY5ZE

pith:2011:56RQY5ZEB7QRA5XFFIRSAHA2GZ

not attested not anchored not stored refs pending

Flexibility of surface groups in classical groups

Inkang Kim (KIAS), LM-Orsay), Pierre Pansu (DMA

arxiv:1101.1159 v1 · 2011-01-06 · 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{56RQY5ZEB7QRA5XFFIRSAHA2GZ}

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	2026-05-18T04:32:00.425042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa30c77240fe11076e52a23201c1a3657a323925b00dafa9910ac7bbe2f03f7

Aliases

arxiv: 1101.1159 · arxiv_version: 1101.1159v1 · doi: 10.48550/arxiv.1101.1159 · pith_short_12: 56RQY5ZEB7QR · pith_short_16: 56RQY5ZEB7QRA5XF · pith_short_8: 56RQY5ZE

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/56RQY5ZEB7QRA5XFFIRSAHA2GZ \
  | 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: efa30c77240fe11076e52a23201c1a3657a323925b00dafa9910ac7bbe2f03f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0099e6c598495dc63f4428983e1024ff43db7fd7a578dafd66a16f4120f116",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-06T08:19:35Z",
    "title_canon_sha256": "7f55bd86d8b180fc692f5dece3eca5fa22977fd378065af3a072ae6c5caf7d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1159",
    "kind": "arxiv",
    "version": 1
  }
}