Pith Number

pith:5NFTMRBO

pith:2016:5NFTMRBORUOB5RWUIXYJSCTJPO

not attested not anchored not stored refs pending

When is a polynomially growing automorphism of $F_n$ geometric ?

Kaidi Ye

arxiv:1605.07390 v1 · 2016-05-24 · 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{5NFTMRBORUOB5RWUIXYJSCTJPO}

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	2026-05-18T01:13:46.205759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb4b36442e8d1c1ec6d445f0990a697ba66642d01fdf45cc854a251bb388defc

Aliases

arxiv: 1605.07390 · arxiv_version: 1605.07390v1 · doi: 10.48550/arxiv.1605.07390 · pith_short_12: 5NFTMRBORUOB · pith_short_16: 5NFTMRBORUOB5RWU · pith_short_8: 5NFTMRBO

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/5NFTMRBORUOB5RWUIXYJSCTJPO \
  | 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: eb4b36442e8d1c1ec6d445f0990a697ba66642d01fdf45cc854a251bb388defc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa45ad4b024a350a76804b9d932a723ef8860bf292d0fbfa4921f2b3affe993f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-24T11:50:39Z",
    "title_canon_sha256": "e0d92f6d35e8686c47a28d4f56b57ab79e7cdda70b5beec85c475848cbe6a75e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07390",
    "kind": "arxiv",
    "version": 1
  }
}