Pith Number

pith:JE6QUUIH

pith:2024:JE6QUUIHP373IMNWCOAJQIIRZS

not attested not anchored not stored refs pending

Borel Combinatorics of Abelian Group Actions

Brandon Seward, Edward Krohne, Steve Jackson, Su Gao

arxiv:2401.13866 v1 · 2024-01-25 · math.LO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JE6QUUIHP373IMNWCOAJQIIRZS}

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

Strong marker sets and applications

Receipt and verification

First computed	2026-07-05T07:37:18.969294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

493d0a51077effb431b61380982111cc84242b07af7aa191c77df918d9c8422e

Aliases

arxiv: 2401.13866 · arxiv_version: 2401.13866v1 · doi: 10.48550/arxiv.2401.13866 · pith_short_12: JE6QUUIHP373 · pith_short_16: JE6QUUIHP373IMNW · pith_short_8: JE6QUUIH

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/JE6QUUIHP373IMNWCOAJQIIRZS \
  | 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: 493d0a51077effb431b61380982111cc84242b07af7aa191c77df918d9c8422e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43fd7e30990bc7d2ee58f45cb7cc6c9649797af05f22154298f26a0fb57e2e3d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-01-25T00:33:31Z",
    "title_canon_sha256": "1c01e4e09100526579d5cc2b8fe283bb6cf9af7a6f750e1d959afce87b2d480a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.13866",
    "kind": "arxiv",
    "version": 1
  }
}