Pith Number

pith:JROIX7NM

pith:2021:JROIX7NMYC7SBCFQ4BWPJFY2OG

not attested not anchored not stored refs pending

Pascal algebra of matrices and Pascal map on jet bundles

Li Chen

arxiv:2111.14570 v3 · 2021-11-29 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JROIX7NMYC7SBCFQ4BWPJFY2OG}

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	2026-07-05T04:50:32.583233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5c8bfdacc0bf2088b0e06cf4971a7192078633d97d9774d74a95a7d4d89fbc

Aliases

arxiv: 2111.14570 · arxiv_version: 2111.14570v3 · doi: 10.48550/arxiv.2111.14570 · pith_short_12: JROIX7NMYC7S · pith_short_16: JROIX7NMYC7SBCFQ · pith_short_8: JROIX7NM

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/JROIX7NMYC7SBCFQ4BWPJFY2OG \
  | 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: 4c5c8bfdacc0bf2088b0e06cf4971a7192078633d97d9774d74a95a7d4d89fbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e9e325782cee4ac42da0da61a389c1328e8fcde70ce24836c5d2c5c563f3fbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-11-29T14:53:07Z",
    "title_canon_sha256": "7d6a4c4e0a16977542dc6338ecdd49fa5f5607f76474e688ea6b7f31085c50fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.14570",
    "kind": "arxiv",
    "version": 3
  }
}