Pith Number

pith:QQ34ZVDR

pith:2014:QQ34ZVDRNUE255GTT75KVI6I7C

not attested not anchored not stored refs pending

Reidemeister theory of iterations of endomorphisms and poly-Bieberbach groups

Alexander Fel'shtyn, Jong Bum Lee

arxiv:1412.4524 v2 · 2014-12-15 · math.GR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQ34ZVDRNUE255GTT75KVI6I7C}

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	2026-05-18T01:10:15.311230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8437ccd4716d09aef4d39ffaaaa3c8f8aa71d1eca7f1e2825247a078b0393a37

Aliases

arxiv: 1412.4524 · arxiv_version: 1412.4524v2 · doi: 10.48550/arxiv.1412.4524 · pith_short_12: QQ34ZVDRNUE2 · pith_short_16: QQ34ZVDRNUE255GT · pith_short_8: QQ34ZVDR

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/QQ34ZVDRNUE255GTT75KVI6I7C \
  | 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: 8437ccd4716d09aef4d39ffaaaa3c8f8aa71d1eca7f1e2825247a078b0393a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2456f2b0e86d1786d7520dae53df1374183d99fa1a5dc305e6a96c2a099ee261",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-15T10:36:32Z",
    "title_canon_sha256": "6112f685213229fecdb90f13d7c40c09cabcf35e615da0dc6ebe5929b6c10666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4524",
    "kind": "arxiv",
    "version": 2
  }
}