Pith Number

pith:EEVR4NBP

pith:2017:EEVR4NBPDRJIX5GGORZ3Y3VJBI

not attested not anchored not stored refs pending

Portrait growth in contracting, regular branch groups

Jone Uria-Albizuri, Zoran Sunic

arxiv:1710.02902 v1 · 2017-10-09 · 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{EEVR4NBPDRJIX5GGORZ3Y3VJBI}

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	2026-05-18T00:33:28.486177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

212b1e342f1c528bf4c67473bc6ea90a1a4af632206312575f6980f2b7c4340b

Aliases

arxiv: 1710.02902 · arxiv_version: 1710.02902v1 · doi: 10.48550/arxiv.1710.02902 · pith_short_12: EEVR4NBPDRJI · pith_short_16: EEVR4NBPDRJIX5GG · pith_short_8: EEVR4NBP

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/EEVR4NBPDRJIX5GGORZ3Y3VJBI \
  | 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: 212b1e342f1c528bf4c67473bc6ea90a1a4af632206312575f6980f2b7c4340b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f53d678a9137c90d176e34b4090fa25b274c6b4131b7439a2babdd2e3415bc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-10-09T00:56:29Z",
    "title_canon_sha256": "a853e045a2ea144c6857225d367eecd99e8b9237847e2f4463c48bca0ded80fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02902",
    "kind": "arxiv",
    "version": 1
  }
}