Pith Number

pith:RE5FIFLN

pith:2010:RE5FIFLNDOFXJGIAMQJSGV7LJS

not attested not anchored not stored refs pending

Homological invariants of modules over contracting endomorphisms

Luchezar L. Avramov, Melvin Hochster, Srikanth B. Iyengar, Yongwei Yao

arxiv:1010.3029 v3 · 2010-10-14 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RE5FIFLNDOFXJGIAMQJSGV7LJS}

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	2026-05-18T04:21:29.930375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

893a54156d1b8b74990064132357eb4ca5228971b1cb87b9604b6694018418f5

Aliases

arxiv: 1010.3029 · arxiv_version: 1010.3029v3 · doi: 10.48550/arxiv.1010.3029 · pith_short_12: RE5FIFLNDOFX · pith_short_16: RE5FIFLNDOFXJGIA · pith_short_8: RE5FIFLN

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/RE5FIFLNDOFXJGIAMQJSGV7LJS \
  | 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: 893a54156d1b8b74990064132357eb4ca5228971b1cb87b9604b6694018418f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff97ddb961b184b9089964bead57894fe4de3d09290045befbb066993c042a65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-10-14T20:52:48Z",
    "title_canon_sha256": "bf80993e96adbd4152fabec4692ba495cb8267feee4b1372103b24f122e1be27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3029",
    "kind": "arxiv",
    "version": 3
  }
}