Pith Number

pith:7LYS2FQC

pith:2011:7LYS2FQCFRCR3UPNLBDLYHWZP5

not attested not anchored not stored refs pending

General heart construction for twin torsion pairs on triangulated categories

Hiroyuki Nakaoka

arxiv:1111.1820 v1 · 2011-11-08 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LYS2FQCFRCR3UPNLBDLYHWZP5}

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	2026-05-18T04:09:24.661326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faf12d16022c451dd1ed5846bc1ed97f4ee536f04d83f356055581decadf1e7f

Aliases

arxiv: 1111.1820 · arxiv_version: 1111.1820v1 · doi: 10.48550/arxiv.1111.1820 · pith_short_12: 7LYS2FQCFRCR · pith_short_16: 7LYS2FQCFRCR3UPN · pith_short_8: 7LYS2FQC

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/7LYS2FQCFRCR3UPNLBDLYHWZP5 \
  | 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: faf12d16022c451dd1ed5846bc1ed97f4ee536f04d83f356055581decadf1e7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db05facc85ee21aa3e32359afcfa7ecf6bfda617aa336d258cfc3c4fe4b5c999",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-11-08T08:03:25Z",
    "title_canon_sha256": "57c1c6c6ea712d46738a4d86c4eaf7908fcbed29891b7bc7b83abed09d63f886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1820",
    "kind": "arxiv",
    "version": 1
  }
}