pith. sign in
Pith Number

pith:2P76VK7Q

pith:2014:2P76VK7QQTFXLMGVBKYEIN5B6Z
not attested not anchored not stored refs pending

Omitting types in logic of metric structures

Ilijas Farah, Menachem Magidor

arxiv:1411.2987 v5 · 2014-11-11 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2P76VK7QQTFXLMGVBKYEIN5B6Z}

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 2026-05-18T00:29:41.182192Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d3ffeaabf084cb75b0d50ab04437a1f6777bc13526e5c6020de108c208e68707

Aliases

arxiv: 1411.2987 · arxiv_version: 1411.2987v5 · doi: 10.48550/arxiv.1411.2987 · pith_short_12: 2P76VK7QQTFX · pith_short_16: 2P76VK7QQTFXLMGV · pith_short_8: 2P76VK7Q
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2P76VK7QQTFXLMGVBKYEIN5B6Z \
  | 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: d3ffeaabf084cb75b0d50ab04437a1f6777bc13526e5c6020de108c208e68707
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0a668483c817fa48fbc96d0919bb23237d1ac6bc6a7d955479324ee59a0f245d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-11-11T21:18:25Z",
    "title_canon_sha256": "d02fb2e84e88d9f8281875bae5e2787dc9c86544aee4976e939dde29fbe945e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2987",
    "kind": "arxiv",
    "version": 5
  }
}