Pith Number

pith:VGBQEXYE

pith:2012:VGBQEXYEI55W4YDIBBV72LSPDB

not attested not anchored not stored refs pending

A fixed point theorem for Lie groups acting on buildings and applications to Kac-Moody theory

Timoth\'ee Marquis

arxiv:1209.0890 v1 · 2012-09-05 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGBQEXYEI55W4YDIBBV72LSPDB}

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	2026-05-18T03:11:33.566144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a983025f04477b6e6068086bfd2e4f186d6b57e7f352094a420de5a4d7b550dc

Aliases

arxiv: 1209.0890 · arxiv_version: 1209.0890v1 · doi: 10.48550/arxiv.1209.0890 · pith_short_12: VGBQEXYEI55W · pith_short_16: VGBQEXYEI55W4YDI · pith_short_8: VGBQEXYE

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/VGBQEXYEI55W4YDIBBV72LSPDB \
  | 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: a983025f04477b6e6068086bfd2e4f186d6b57e7f352094a420de5a4d7b550dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16c0e116784775af9b85bd052bffda8978aaf6c28bf4d3d10e09d87dde5943ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-09-05T08:27:56Z",
    "title_canon_sha256": "2c5a21d09294b59284819905e31329b7037665caad059d190f71874b884d04f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0890",
    "kind": "arxiv",
    "version": 1
  }
}