Pith Number

pith:X7ZCYVKR

pith:2017:X7ZCYVKRWTRXTRIZL7WZI4T67O

not attested not anchored not stored refs pending

Bounds on homological invariants of VI-modules

Liping Li, Wee Liang Gan

arxiv:1710.10223 v2 · 2017-10-27 · math.RT · math.KT · 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{X7ZCYVKRWTRXTRIZL7WZI4T67O}

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	2026-05-17T23:48:40.850714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff22c5551b4e379c5195fed94727efba517252608a44a921debc2641d314194

Aliases

arxiv: 1710.10223 · arxiv_version: 1710.10223v2 · doi: 10.48550/arxiv.1710.10223 · pith_short_12: X7ZCYVKRWTRX · pith_short_16: X7ZCYVKRWTRXTRIZ · pith_short_8: X7ZCYVKR

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/X7ZCYVKRWTRXTRIZL7WZI4T67O \
  | 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: bff22c5551b4e379c5195fed94727efba517252608a44a921debc2641d314194

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7350dd7ff74d92bdb39502d93085b4c79ceb794f185e2212411020f62dc05b10",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-10-27T16:13:36Z",
    "title_canon_sha256": "9dcd5be8f1fefa005f3f935aa075a9a8dddc92fd64b15e9ebb380173a9be8bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10223",
    "kind": "arxiv",
    "version": 2
  }
}