Pith Number

pith:5PSZ35O6

pith:2011:5PSZ35O6L7BXW6P5OC3XPIJAMS

not attested not anchored not stored refs pending

Non-nesting actions of groups on real trees vs isometric actions

A. Ivanov

arxiv:1112.1219 v1 · 2011-12-06 · 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{5PSZ35O6L7BXW6P5OC3XPIJAMS}

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	2026-05-18T04:06:55.973090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe59df5de5fc37b79fd70b777a1206491a3c4fb2a331a40db22638331b9f594

Aliases

arxiv: 1112.1219 · arxiv_version: 1112.1219v1 · doi: 10.48550/arxiv.1112.1219 · pith_short_12: 5PSZ35O6L7BX · pith_short_16: 5PSZ35O6L7BXW6P5 · pith_short_8: 5PSZ35O6

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/5PSZ35O6L7BXW6P5OC3XPIJAMS \
  | 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: ebe59df5de5fc37b79fd70b777a1206491a3c4fb2a331a40db22638331b9f594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4824f2acb07821ef1423cf15a062a6c7fbc13234727ec60171d253c79914c63f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-06T10:23:44Z",
    "title_canon_sha256": "5777bd15926ef581cc16f3625ba10f588d3c74ba8c967b6d9b6e9149ed539550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1219",
    "kind": "arxiv",
    "version": 1
  }
}