Pith Number

pith:B6TEECAD

pith:2012:B6TEECAD6R3SZ2NGEC5NPLLEHL

not attested not anchored not stored refs pending

Eulerian graded $D$-modules

Linquan Ma, Wenliang Zhang

arxiv:1210.8402 v2 · 2012-10-31 · 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{B6TEECAD6R3SZ2NGEC5NPLLEHL}

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	2026-05-18T01:11:03.653840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fa6420803f4772ce9a620bad7ad643ad2ab9de25131e9e6c0050d08f8c84c70

Aliases

arxiv: 1210.8402 · arxiv_version: 1210.8402v2 · doi: 10.48550/arxiv.1210.8402 · pith_short_12: B6TEECAD6R3S · pith_short_16: B6TEECAD6R3SZ2NG · pith_short_8: B6TEECAD

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/B6TEECAD6R3SZ2NGEC5NPLLEHL \
  | 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: 0fa6420803f4772ce9a620bad7ad643ad2ab9de25131e9e6c0050d08f8c84c70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bed1c006ac9d197fec111e88857add367abdc1c5ab17883fccd5fa68a0ad8c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-10-31T17:18:16Z",
    "title_canon_sha256": "9c5295726ccad8a9cba3d56cb31ce64fcf1fa5441051d33552d0e0253bd6e176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8402",
    "kind": "arxiv",
    "version": 2
  }
}