Pith Number

pith:ATXKYIY7

pith:2016:ATXKYIY7KC3ZXOMOVJ377G73I2

not attested not anchored not stored refs pending

Invariable generation of certain groups of piecewise linear homeomorphisms of the interval

Shigenori Matsumoto, Yoshifumi Matsuda

arxiv:1612.06499 v2 · 2016-12-20 · 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{ATXKYIY7KC3ZXOMOVJ377G73I2}

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	2026-05-18T00:54:15.175890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04eeac231f50b79bb98eaa77ff9bfb46ba8e796d044975178123c0e44d973d5e

Aliases

arxiv: 1612.06499 · arxiv_version: 1612.06499v2 · doi: 10.48550/arxiv.1612.06499 · pith_short_12: ATXKYIY7KC3Z · pith_short_16: ATXKYIY7KC3ZXOMO · pith_short_8: ATXKYIY7

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/ATXKYIY7KC3ZXOMOVJ377G73I2 \
  | 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: 04eeac231f50b79bb98eaa77ff9bfb46ba8e796d044975178123c0e44d973d5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8395174ae6fc82326ced72d2ea567e4668bd4f5c1e7c9492e70ae3946b7a5ae2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-20T03:59:43Z",
    "title_canon_sha256": "558413b3d9c48c95d27995b2bfca2c44e3e107fa75969e3ab7da58fef2cce76f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06499",
    "kind": "arxiv",
    "version": 2
  }
}