Pith Number

pith:KEFIFGOK

pith:2013:KEFIFGOK2VAKBY6MW3ZPZOA2JS

not attested not anchored not stored refs pending

Chang's Conjecture, The Weak Reflection Principle and the Tree Property at $\omega_2$

Liuzhen Wu, Victor Torres-Perez

arxiv:1307.3731 v2 · 2013-07-14 · 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{KEFIFGOK2VAKBY6MW3ZPZOA2JS}

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	2026-05-18T00:38:23.788361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510a8299cad540a0e3ccb6f2fcb81a4c986051fb6d98f0c021e7d65a373182b2

Aliases

arxiv: 1307.3731 · arxiv_version: 1307.3731v2 · doi: 10.48550/arxiv.1307.3731 · pith_short_12: KEFIFGOK2VAK · pith_short_16: KEFIFGOK2VAKBY6M · pith_short_8: KEFIFGOK

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/KEFIFGOK2VAKBY6MW3ZPZOA2JS \
  | 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: 510a8299cad540a0e3ccb6f2fcb81a4c986051fb6d98f0c021e7d65a373182b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f5481387b34a9ea175d3ca276eca2fdb5f898059a17d84ec83719d9145a8256",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-07-14T12:01:42Z",
    "title_canon_sha256": "512365915a46ae77914b14712307930f55768750a7a7f13d19b9fd03b91a87ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3731",
    "kind": "arxiv",
    "version": 2
  }
}