Pith Number

pith:URY3ECTD

pith:2025:URY3ECTDNWADNLT6UCXZB3ROR4

not attested not anchored not stored refs pending

Existentially closed measure-preserving actions of approximately treeable groups

Brandon Seward, Isaac Goldbring, Robin Tucker-Drob

arxiv:2507.03195 v1 · 2025-07-03 · math.LO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URY3ECTDNWADNLT6UCXZB3ROR4}

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

The Local Lifting Property, Property FD, and stability of approximate representations

Receipt and verification

First computed	2026-07-05T11:31:54.569556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a471b20a636d8036ae7ea0af90ee2e8f0f38579d22500fd9388c308cd9d98637

Aliases

arxiv: 2507.03195 · arxiv_version: 2507.03195v1 · doi: 10.48550/arxiv.2507.03195 · pith_short_12: URY3ECTDNWAD · pith_short_16: URY3ECTDNWADNLT6 · pith_short_8: URY3ECTD

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/URY3ECTDNWADNLT6UCXZB3ROR4 \
  | 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: a471b20a636d8036ae7ea0af90ee2e8f0f38579d22500fd9388c308cd9d98637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc2d8e6df3357a23a1c2e3d94f726d9152d9eeba749ad018f3569ac731129a8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-07-03T22:05:11Z",
    "title_canon_sha256": "6f94eace927cdd3eceb738964d9ec327b408009446891601992c7bc0dbb19b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03195",
    "kind": "arxiv",
    "version": 1
  }
}