Pith Number

pith:JFQQXGHX

pith:2013:JFQQXGHX5ULT75TQTRLBQZQTKJ

not attested not anchored not stored refs pending

Geometric presentations of Lie groups and their Dehn functions

Romain Tessera, Yves Cornulier

arxiv:1310.5373 v2 · 2013-10-20 · math.GR · math.GT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JFQQXGHX5ULT75TQTRLBQZQTKJ}

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	2026-05-18T00:40:42.194147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49610b98f7ed173ff6709c561866135250bf12f33bc67787886372772da39181

Aliases

arxiv: 1310.5373 · arxiv_version: 1310.5373v2 · doi: 10.48550/arxiv.1310.5373 · pith_short_12: JFQQXGHX5ULT · pith_short_16: JFQQXGHX5ULT75TQ · pith_short_8: JFQQXGHX

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/JFQQXGHX5ULT75TQTRLBQZQTKJ \
  | 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: 49610b98f7ed173ff6709c561866135250bf12f33bc67787886372772da39181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4ed0d6c73dcad3d7b2b67ea4b9b35ff8b51f56318267cc7f86d48dbcd07a78a",
    "cross_cats_sorted": [
      "math.GT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-20T21:14:25Z",
    "title_canon_sha256": "de94da592e65417fad0233c3b57c611c93444b51f277d18ecf87e858fc2a02b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5373",
    "kind": "arxiv",
    "version": 2
  }
}