Pith Number

pith:QMXPUI6Q

pith:1995:QMXPUI6Q3KM6V3F77N6FY7FZOJ

not attested not anchored not stored refs pending

Critical points in an algebra of elementary embeddings, II

Randall Dougherty

arxiv:math/9503204 v1 · 1995-03-07 · 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{QMXPUI6Q3KM6V3F77N6FY7FZOJ}

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	2026-05-18T01:05:50.423546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

832efa23d0da99eaecbffb7c5c7cb972533d0a29d7e0c53648d1b449aed57063

Aliases

arxiv: math/9503204 · arxiv_version: math/9503204v1 · doi: 10.48550/arxiv.math/9503204 · pith_short_12: QMXPUI6Q3KM6 · pith_short_16: QMXPUI6Q3KM6V3F7 · pith_short_8: QMXPUI6Q

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/QMXPUI6Q3KM6V3F77N6FY7FZOJ \
  | 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: 832efa23d0da99eaecbffb7c5c7cb972533d0a29d7e0c53648d1b449aed57063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d2c8b7aa580d626e0ab5b1af3d4412c6a7f5716046190b1fef76ec94372708d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1995-03-07T00:00:00Z",
    "title_canon_sha256": "09890a497e5f345c57706055e6442d53d0c71ccbf2085894c0ed09aafc8c6b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9503204",
    "kind": "arxiv",
    "version": 1
  }
}