Pith Number

pith:3QY7UH4Z

pith:2018:3QY7UH4ZG3JNEQQDBLVRSEFLGA

not attested not anchored not stored refs pending

Topics in geometric group theory, Part II

Valentin Po\'enaru

arxiv:1804.09425 v1 · 2018-04-25 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QY7UH4ZG3JNEQQDBLVRSEFLGA}

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	2026-05-18T00:17:31.834773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc31fa1f9936d2d242030aeb1910ab303aaa469368f5445cda9eb08e74991249

Aliases

arxiv: 1804.09425 · arxiv_version: 1804.09425v1 · doi: 10.48550/arxiv.1804.09425 · pith_short_12: 3QY7UH4ZG3JN · pith_short_16: 3QY7UH4ZG3JNEQQD · pith_short_8: 3QY7UH4Z

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/3QY7UH4ZG3JNEQQDBLVRSEFLGA \
  | 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: dc31fa1f9936d2d242030aeb1910ab303aaa469368f5445cda9eb08e74991249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aba6bb5b69574ee59a9ede51bd387d8cb2499e6a1bb2c935dd60fde1cd36cb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-25T08:33:16Z",
    "title_canon_sha256": "e218849525d93a3e448935749f85380881079855d357afa87a98432863522957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09425",
    "kind": "arxiv",
    "version": 1
  }
}