Pith Number

pith:FSQCFZCX

pith:2021:FSQCFZCXKSDK344ECOMBFI2JFJ

not attested not anchored not stored refs pending

Some remarks on proper actions, proper metric spaces, and buildings

Linus Kramer

arxiv:2109.12837 v4 · 2021-09-27 · math.GR · math.GN · 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{FSQCFZCXKSDK344ECOMBFI2JFJ}

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	2026-07-05T04:54:16.012103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ca022e4575486adf384139812a3492a6982f256b035435cff12d537654b59ea

Aliases

arxiv: 2109.12837 · arxiv_version: 2109.12837v4 · doi: 10.48550/arxiv.2109.12837 · pith_short_12: FSQCFZCXKSDK · pith_short_16: FSQCFZCXKSDK344E · pith_short_8: FSQCFZCX

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/FSQCFZCXKSDK344ECOMBFI2JFJ \
  | 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: 2ca022e4575486adf384139812a3492a6982f256b035435cff12d537654b59ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98bce3a924c5263cb37d82c436c741930743d7d9a826f3f7e4b856a1a95747fd",
    "cross_cats_sorted": [
      "math.GN",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-09-27T07:12:57Z",
    "title_canon_sha256": "07b6598baa9e8108fd579aebf994c2c2c0044b39ee411b0762995793e3f5bfad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.12837",
    "kind": "arxiv",
    "version": 4
  }
}