Pith Number

pith:LY2WJFQH

pith:2014:LY2WJFQHZIXWPYIGYK4KZILIR4

not attested not anchored not stored refs pending

Search problems in groups and branching processes

Alexander Ushakov, Pavel Morar

arxiv:1407.1685 v1 · 2014-07-07 · 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{LY2WJFQHZIXWPYIGYK4KZILIR4}

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	2026-05-18T02:48:10.672622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e35649607ca2f67e106c2b8aca1688f27264f350eda80ed61dcc7b231d2c26b

Aliases

arxiv: 1407.1685 · arxiv_version: 1407.1685v1 · doi: 10.48550/arxiv.1407.1685 · pith_short_12: LY2WJFQHZIXW · pith_short_16: LY2WJFQHZIXWPYIG · pith_short_8: LY2WJFQH

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/LY2WJFQHZIXWPYIGYK4KZILIR4 \
  | 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: 5e35649607ca2f67e106c2b8aca1688f27264f350eda80ed61dcc7b231d2c26b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8538f48e4fc201feb43a3982e2a33648614c16ea1cd676d44a727a2a440d62c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-07T12:35:14Z",
    "title_canon_sha256": "7de211ac9055f90a67449aaac06227a6aa96ba8f9e1d1f7f01cc22d99b62f38f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1685",
    "kind": "arxiv",
    "version": 1
  }
}