Pith Number

pith:EXENAAPQ

pith:2015:EXENAAPQMJKBXBD6V33LAPMH4O

not attested not anchored not stored refs pending

Affine Automorphisms of Rooted Trees

Dmytro M. Savchuk, Said N. Sidki

arxiv:1510.08434 v1 · 2015-10-28 · 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{EXENAAPQMJKBXBD6V33LAPMH4O}

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	2026-05-18T01:28:35.938562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c8d001f062541b847eaef6b03d87e397bd74ca5dca5cd6b287417b1d5d170d

Aliases

arxiv: 1510.08434 · arxiv_version: 1510.08434v1 · doi: 10.48550/arxiv.1510.08434 · pith_short_12: EXENAAPQMJKB · pith_short_16: EXENAAPQMJKBXBD6 · pith_short_8: EXENAAPQ

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/EXENAAPQMJKBXBD6V33LAPMH4O \
  | 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: 25c8d001f062541b847eaef6b03d87e397bd74ca5dca5cd6b287417b1d5d170d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d8a08a35696a9f7737de81c002e2be08614a8a8c3f00e82cff4453147b2449",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-28T19:47:15Z",
    "title_canon_sha256": "653349302108c8092504474f7eab50c89dfe258b7c8b657ec0020a8536fcf65c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08434",
    "kind": "arxiv",
    "version": 1
  }
}