Pith Number

pith:XZSKVFMK

pith:2011:XZSKVFMKDC6V7ZDNWHUHR76CHU

not attested not anchored not stored refs pending

Are There Enough Injective Sets?

Benno van den Berg, Johan Granstroem, Peter Aczel, Peter Schuster

arxiv:1111.5180 v1 · 2011-11-22 · 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{XZSKVFMKDC6V7ZDNWHUHR76CHU}

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	2026-05-18T04:07:53.226987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be64aa958a18bd5fe46db1e878ffc23d3a7c0540ef6055adf889d994edbf64ef

Aliases

arxiv: 1111.5180 · arxiv_version: 1111.5180v1 · doi: 10.48550/arxiv.1111.5180 · pith_short_12: XZSKVFMKDC6V · pith_short_16: XZSKVFMKDC6V7ZDN · pith_short_8: XZSKVFMK

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/XZSKVFMKDC6V7ZDNWHUHR76CHU \
  | 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: be64aa958a18bd5fe46db1e878ffc23d3a7c0540ef6055adf889d994edbf64ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17e3b14619fa13316d132e4595743705188555c0a68ec448c7907c1980078472",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-11-22T12:43:44Z",
    "title_canon_sha256": "da7b0113129292f54d92a2ce4d87b103e30dcbbaa3d04cc5b1fd1784d22627ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5180",
    "kind": "arxiv",
    "version": 1
  }
}