Pith Number

pith:D4S7TGVI

pith:2017:D4S7TGVIC6ZY4FVGL5MZN43MGT

not attested not anchored not stored refs pending

Filling functions of arithmetic groups

Enrico Leuzinger, Robert Young

arxiv:1710.00732 v1 · 2017-10-02 · 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{D4S7TGVIC6ZY4FVGL5MZN43MGT}

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	2026-05-18T00:33:53.907640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f25f99aa817b38e16a65f5996f36c34d6985491ee112aa6b6e5148bb5242aea

Aliases

arxiv: 1710.00732 · arxiv_version: 1710.00732v1 · doi: 10.48550/arxiv.1710.00732 · pith_short_12: D4S7TGVIC6ZY · pith_short_16: D4S7TGVIC6ZY4FVG · pith_short_8: D4S7TGVI

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/D4S7TGVIC6ZY4FVGL5MZN43MGT \
  | 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: 1f25f99aa817b38e16a65f5996f36c34d6985491ee112aa6b6e5148bb5242aea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0758b1d9622a186bcaab76de04069b83acfa3f6fccbd31d77e6d910f210b8ea8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-10-02T15:48:47Z",
    "title_canon_sha256": "a19eaf1435f3924db33fff27dc0c4689e814eff09628188574ed2bb9165e0444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00732",
    "kind": "arxiv",
    "version": 1
  }
}