Pith Number

pith:634WO3LR

pith:2011:634WO3LRKEO55JRZLKYLJVYO7M

not attested not anchored not stored refs pending

A Note on Lipshitz's Lemma 3

Shaoshi Chen, Ziming Li

arxiv:1110.5577 v2 · 2011-10-23 · math.RA · 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{634WO3LRKEO55JRZLKYLJVYO7M}

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	2026-05-18T04:09:26.706975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f9676d71511ddea6395ab0b4d70efb1f4f7d9356960ba4a89f579ccfba933c

Aliases

arxiv: 1110.5577 · arxiv_version: 1110.5577v2 · doi: 10.48550/arxiv.1110.5577 · pith_short_12: 634WO3LRKEO5 · pith_short_16: 634WO3LRKEO55JRZ · pith_short_8: 634WO3LR

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/634WO3LRKEO55JRZLKYLJVYO7M \
  | 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: f6f9676d71511ddea6395ab0b4d70efb1f4f7d9356960ba4a89f579ccfba933c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6fbd44c5a8bd9fb4f3e33be41b06f780521128d4a3b243bfc4d51776ef8f614",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-10-23T03:26:19Z",
    "title_canon_sha256": "94dcfa160219a9775c3c25e1a46e2c3b16736a01913d0837a095526b41e9530e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5577",
    "kind": "arxiv",
    "version": 2
  }
}