Pith Number

pith:BVXYQILM

pith:2009:BVXYQILM2KYFRTXCSWTHIX2LN5

not attested not anchored not stored refs pending

Model structures on modules over Ding-Chen rings

James Gillespie

arxiv:0910.1942 v1 · 2009-10-10 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVXYQILM2KYFRTXCSWTHIX2LN5}

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	2026-07-04T15:54:21.704218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d6f88216cd2b058cee295a6745f4b6f6f15f28c87eacc81f7bda0e7a89114f5

Aliases

arxiv: 0910.1942 · arxiv_version: 0910.1942v1 · doi: 10.48550/arxiv.0910.1942 · pith_short_12: BVXYQILM2KYF · pith_short_16: BVXYQILM2KYFRTXC · pith_short_8: BVXYQILM

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/BVXYQILM2KYFRTXCSWTHIX2LN5 \
  | 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: 0d6f88216cd2b058cee295a6745f4b6f6f15f28c87eacc81f7bda0e7a89114f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d57912333c7051499d73720b9e6a3624564d960eea8762cc6d32b128ca6f34dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-10-10T20:06:46Z",
    "title_canon_sha256": "ad30ca10abf694d674ad39eb0461685dcf82a1fbc79565a6661e17465d828535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1942",
    "kind": "arxiv",
    "version": 1
  }
}