Pith Number

pith:6DFMUJX7

pith:2021:6DFMUJX7KCQ6YHFXJDQUIDV7PL

not attested not anchored not stored refs pending

Trees and stationary reflection at double successors of regular cardinals

Maxwell Levine, Thomas Gilton, \v{S}\'arka Stejskalov\'a

arxiv:2103.15728 v2 · 2021-03-29 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DFMUJX7KCQ6YHFXJDQUIDV7PL}

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	2026-07-05T02:28:56.753165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0caca26ff50a1ec1cb748e1440ebf7ae3811ce88c819c8681e03fa8fa0906b5

Aliases

arxiv: 2103.15728 · arxiv_version: 2103.15728v2 · doi: 10.48550/arxiv.2103.15728 · pith_short_12: 6DFMUJX7KCQ6 · pith_short_16: 6DFMUJX7KCQ6YHFX · pith_short_8: 6DFMUJX7

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/6DFMUJX7KCQ6YHFXJDQUIDV7PL \
  | 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: f0caca26ff50a1ec1cb748e1440ebf7ae3811ce88c819c8681e03fa8fa0906b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdcd0d09948b2dd1c3f7a99ee7c6a85869205184608e13ef39db5d752d89b4a8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2021-03-29T16:16:27Z",
    "title_canon_sha256": "ce0ba6f677264f1491e846641f5e46ac71381b7b1a0f12a4cba59456dcf3e3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15728",
    "kind": "arxiv",
    "version": 2
  }
}