Pith Number

pith:KTD7B7WX

pith:2011:KTD7B7WXRKOVFEUEMITLOB6BXA

not attested not anchored not stored refs pending

Involutions on Zilber fields

Vincenzo Mantova

arxiv:1109.6155 v2 · 2011-09-28 · math.LO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTD7B7WXRKOVFEUEMITLOB6BXA}

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	2026-05-18T03:24:54.460628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54c7f0fed78a9d5292846226b707c1b8381b361b02bbf6a6bb7c6e2cbfe99329

Aliases

arxiv: 1109.6155 · arxiv_version: 1109.6155v2 · doi: 10.48550/arxiv.1109.6155 · pith_short_12: KTD7B7WXRKOV · pith_short_16: KTD7B7WXRKOVFEUE · pith_short_8: KTD7B7WX

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/KTD7B7WXRKOVFEUEMITLOB6BXA \
  | 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: 54c7f0fed78a9d5292846226b707c1b8381b361b02bbf6a6bb7c6e2cbfe99329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aeddef64c6969cc268f11b771c0fd863e2a5582c0a3770cecda204a338511c7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-09-28T10:17:47Z",
    "title_canon_sha256": "65aa4768ed524ff14eeec97acb9ea0a36fe3db318d10915d333381bd0ee44e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6155",
    "kind": "arxiv",
    "version": 2
  }
}