Pith Number

pith:NI2IJXKE

pith:2015:NI2IJXKECG2TXOZCNJYHPBOTCX

not attested not anchored not stored refs pending

Homological Aspects of the Dual Auslander Transpose II

Xi Tang, Zhaoyong Huang

arxiv:1511.08667 v1 · 2015-11-27 · math.RA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NI2IJXKECG2TXOZCNJYHPBOTCX}

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	2026-05-18T00:48:46.321356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a3484dd4411b53bbb226a707785d315e2c69fb039fcd2daa9c80c69889a4b51

Aliases

arxiv: 1511.08667 · arxiv_version: 1511.08667v1 · doi: 10.48550/arxiv.1511.08667 · pith_short_12: NI2IJXKECG2T · pith_short_16: NI2IJXKECG2TXOZC · pith_short_8: NI2IJXKE

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/NI2IJXKECG2TXOZCNJYHPBOTCX \
  | 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: 6a3484dd4411b53bbb226a707785d315e2c69fb039fcd2daa9c80c69889a4b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "997f096addfff86d5cf2b63e8dfd0352c46bc8b81816998ee92e46f75017c689",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-11-27T13:37:36Z",
    "title_canon_sha256": "4eb57a0daf4a4a7b3e5fdd81fb58ca5af2a243346c950c8d72833f3a09802d19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08667",
    "kind": "arxiv",
    "version": 1
  }
}