Pith Number

pith:FLVQG4I6

pith:2001:FLVQG4I6AJCQRK2PXEMP37MLG7

not attested not anchored not stored refs pending

Loop groups and twin buildings

Linus Kramer

arxiv:math/0109128 v1 · 2001-09-19 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLVQG4I6AJCQRK2PXEMP37MLG7}

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	2026-07-04T14:35:31.582848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aeb03711e024508ab4fb918fdfd8b37e0b3af10532e58d4f912cfec4e5c27c5

Aliases

arxiv: math/0109128 · arxiv_version: math/0109128v1 · doi: 10.48550/arxiv.math/0109128 · pith_short_12: FLVQG4I6AJCQ · pith_short_16: FLVQG4I6AJCQRK2P · pith_short_8: FLVQG4I6

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/FLVQG4I6AJCQRK2PXEMP37MLG7 \
  | 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: 2aeb03711e024508ab4fb918fdfd8b37e0b3af10532e58d4f912cfec4e5c27c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda4e1233b546a7314bbd1dcaf380a9159f63e11b887debeac0fad370e1423e2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-09-19T10:28:42Z",
    "title_canon_sha256": "490e6674aa2a7de14de5996b8d5707f317b0acb105feec9fcf8083337a662f0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0109128",
    "kind": "arxiv",
    "version": 1
  }
}