Pith Number

pith:P2MMECBA

pith:2017:P2MMECBA2ZWWDFOY7LEHRF2RR5

not attested not anchored not stored refs pending

The unreasonable power of the lifting property in elementary mathematics

Misha Gavrilovich

arxiv:1707.06615 v1 · 2017-07-20 · math.CT · 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{P2MMECBA2ZWWDFOY7LEHRF2RR5}

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	2026-05-18T00:39:53.402132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e98c20820d66d6195d8fac87897518f5cdd55b78661cf72f79feb928b75cc61

Aliases

arxiv: 1707.06615 · arxiv_version: 1707.06615v1 · doi: 10.48550/arxiv.1707.06615 · pith_short_12: P2MMECBA2ZWW · pith_short_16: P2MMECBA2ZWWDFOY · pith_short_8: P2MMECBA

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/P2MMECBA2ZWWDFOY7LEHRF2RR5 \
  | 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: 7e98c20820d66d6195d8fac87897518f5cdd55b78661cf72f79feb928b75cc61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a41214327aea2afe1d3b68fcb6abd4355cfeb6bb6eda8fa7f049181f7b6103",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-07-20T17:15:06Z",
    "title_canon_sha256": "68423ea1acca08b025bac4d2743255381c233820c1cd1732b90ee502ce78e30d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06615",
    "kind": "arxiv",
    "version": 1
  }
}