Pith Number

pith:DTFUTWSV

pith:2014:DTFUTWSVXPGMADJIMPFZG6RTJZ

not attested not anchored not stored refs pending

Quotients of trees for arithmetic subgroups of PGL2 over a rational function field

Bernhard M\"uhlherr, Koen Struyve, Ralf K\"ohl

arxiv:1401.5379 v1 · 2014-01-21 · 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{DTFUTWSVXPGMADJIMPFZG6RTJZ}

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	2026-05-18T03:01:34.001496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ccb49da55bbccc00d2863cb937a334e5b9c828b34eed183f4690abf5708282a

Aliases

arxiv: 1401.5379 · arxiv_version: 1401.5379v1 · doi: 10.48550/arxiv.1401.5379 · pith_short_12: DTFUTWSVXPGM · pith_short_16: DTFUTWSVXPGMADJI · pith_short_8: DTFUTWSV

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/DTFUTWSVXPGMADJIMPFZG6RTJZ \
  | 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: 1ccb49da55bbccc00d2863cb937a334e5b9c828b34eed183f4690abf5708282a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d31b6e0e515e2d5defc1ef45c51614f75045a05e928398f367722c4a46949737",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-01-21T16:43:37Z",
    "title_canon_sha256": "52d7ce6497eb14ba7f676992aa9ab70ff9a83936711ce7c113112b1980ecfe4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5379",
    "kind": "arxiv",
    "version": 1
  }
}