Pith Number

pith:AB6L3PY2

pith:2010:AB6L3PY24F5YLB6AFULM4USCK2

not attested not anchored not stored refs pending

Remarks on unimodularity

Anand Pillay, Charlotte Kestner

arxiv:1012.0982 v1 · 2010-12-05 · 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{AB6L3PY24F5YLB6AFULM4USCK2}

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	2026-05-18T04:34:01.966985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

007cbdbf1ae17b8587c02d16ce524256bc745ceefe7b2db45beb5a085cb93063

Aliases

arxiv: 1012.0982 · arxiv_version: 1012.0982v1 · doi: 10.48550/arxiv.1012.0982 · pith_short_12: AB6L3PY24F5Y · pith_short_16: AB6L3PY24F5YLB6A · pith_short_8: AB6L3PY2

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/AB6L3PY24F5YLB6AFULM4USCK2 \
  | 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: 007cbdbf1ae17b8587c02d16ce524256bc745ceefe7b2db45beb5a085cb93063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a9354722b322d3012144c20f90d2d69903edce1990b747e7e0ae963c87279c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-12-05T10:00:42Z",
    "title_canon_sha256": "16a1ac579d431ab5d3ab011795c1aeb5e5c7b737042e186ad6d4c5068e5c3190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0982",
    "kind": "arxiv",
    "version": 1
  }
}