Pith Number

pith:LLEQHBPZ

pith:2019:LLEQHBPZTPSWAB5EP2T7AJDTHB

not attested not anchored not stored refs pending

Groups acting faithfully on trees and properly on products of trees

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arxiv:1910.04614 v1 · 2019-10-10 · 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{LLEQHBPZTPSWAB5EP2T7AJDTHB}

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.

Cited by

1 paper in Pith

Bounded cohomology of groups acting on trees with almost prescribed local actions

Receipt and verification

First computed	2026-07-05T00:11:09.978195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac90385f99be56007a47ea7f02473386c60fb1efa71e604553e89cc783ccc58

Aliases

arxiv: 1910.04614 · arxiv_version: 1910.04614v1 · doi: 10.48550/arxiv.1910.04614 · pith_short_12: LLEQHBPZTPSW · pith_short_16: LLEQHBPZTPSWAB5E · pith_short_8: LLEQHBPZ

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/LLEQHBPZTPSWAB5EP2T7AJDTHB \
  | 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: 5ac90385f99be56007a47ea7f02473386c60fb1efa71e604553e89cc783ccc58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07d9c2c692e55fd4d92abb9d18e54264bb8a16b4e28d76c0969222e0e3585a4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-10-10T14:44:29Z",
    "title_canon_sha256": "f0823708166b17b6fcd3bd1415042e7386f529834bd919f6998800713031c1c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.04614",
    "kind": "arxiv",
    "version": 1
  }
}