Pith Number

pith:U7F6DZAH

pith:2011:U7F6DZAH6QNEWWFWTOM6ZLX7ZZ

not attested not anchored not stored refs pending

Mutation of torsion pairs in triangulated categories and its geometric realization

Bin Zhu, Yu Zhou

arxiv:1105.3521 v2 · 2011-05-18 · math.RT · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7F6DZAH6QNEWWFWTOM6ZLX7ZZ}

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	2026-05-18T00:41:13.535590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7cbe1e407f41a4b58b69b99ecaeffce526b7166db35e8ba8a7dda996830ee54

Aliases

arxiv: 1105.3521 · arxiv_version: 1105.3521v2 · doi: 10.48550/arxiv.1105.3521 · pith_short_12: U7F6DZAH6QNE · pith_short_16: U7F6DZAH6QNEWWFW · pith_short_8: U7F6DZAH

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/U7F6DZAH6QNEWWFWTOM6ZLX7ZZ \
  | 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: a7cbe1e407f41a4b58b69b99ecaeffce526b7166db35e8ba8a7dda996830ee54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05880b3482e1718d998dacd73e48447b8411e87b7df268af2d607eac4db34d17",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-05-18T03:00:14Z",
    "title_canon_sha256": "b1868b59e263ab683b8cfa20814e131786ad0f5e26c24e1d1d2080a0b204fce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3521",
    "kind": "arxiv",
    "version": 2
  }
}