Pith Number

pith:AQSS6YKC

pith:2016:AQSS6YKCARYCGSOW3JRBSZ3X7C

not attested not anchored not stored refs pending

Core and Dual Core Inverses of a Sum of Morphisms

Jianlong Chen, Sanzhang Xu, Tingting Li

arxiv:1612.09482 v1 · 2016-12-26 · math.CT · 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{AQSS6YKCARYCGSOW3JRBSZ3X7C}

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	2026-05-18T00:53:41.405414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04252f614204702349d6da62196777f888c90a86567a68c0425eb2c952c0cc67

Aliases

arxiv: 1612.09482 · arxiv_version: 1612.09482v1 · doi: 10.48550/arxiv.1612.09482 · pith_short_12: AQSS6YKCARYC · pith_short_16: AQSS6YKCARYCGSOW · pith_short_8: AQSS6YKC

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/AQSS6YKCARYCGSOW3JRBSZ3X7C \
  | 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: 04252f614204702349d6da62196777f888c90a86567a68c0425eb2c952c0cc67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f031c20adce33c594209d5809e6f7026e9f4c3256fa0a0d71b80f03239b1e7f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-12-26T07:37:59Z",
    "title_canon_sha256": "9cfa6ce8a383440cb9ad545c8c57a1763de851e066a4b93e008e0a4d3e14d52d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09482",
    "kind": "arxiv",
    "version": 1
  }
}