Pith Number

pith:VYMVPUXZ

pith:2013:VYMVPUXZSLACON3K4RQJLVXBDI

not attested not anchored not stored refs pending

An embedding theorem of $\mathbb{E}_{0}$ with model theoretic applications

Benjamin D. Miller, Itay Kaplan

arxiv:1308.5515 v1 · 2013-08-26 · 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{VYMVPUXZSLACON3K4RQJLVXBDI}

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	2026-05-18T03:15:04.335051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae1957d2f992c027376ae46095d6e11a0a8a00d4d69c2d650eb62babd18311cd

Aliases

arxiv: 1308.5515 · arxiv_version: 1308.5515v1 · doi: 10.48550/arxiv.1308.5515 · pith_short_12: VYMVPUXZSLAC · pith_short_16: VYMVPUXZSLACON3K · pith_short_8: VYMVPUXZ

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/VYMVPUXZSLACON3K4RQJLVXBDI \
  | 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: ae1957d2f992c027376ae46095d6e11a0a8a00d4d69c2d650eb62babd18311cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039e23a3b2c86c24b06a2aa7a1fcfcc73dff685e5f38c234a9fbf8cb70bd710c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-08-26T08:51:19Z",
    "title_canon_sha256": "5cb627a6173b23b31eaa3a537e981cc714cf661c72166bb7e3677ddc8ebce54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5515",
    "kind": "arxiv",
    "version": 1
  }
}