Pith Number

pith:PAOPJLSA

pith:2016:PAOPJLSA6C2XE6ARRLPFXY2TD6

not attested not anchored not stored refs pending

Existence of an invariant form under a linear map

Krishnendu Gongopadhyay, Sudip Mazumder

arxiv:1606.02444 v3 · 2016-06-08 · 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{PAOPJLSA6C2XE6ARRLPFXY2TD6}

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	2026-05-18T00:25:27.247802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781cf4ae40f0b57278118ade5be3531f9351e4cd2239bdf41b07861dd22292b6

Aliases

arxiv: 1606.02444 · arxiv_version: 1606.02444v3 · doi: 10.48550/arxiv.1606.02444 · pith_short_12: PAOPJLSA6C2X · pith_short_16: PAOPJLSA6C2XE6AR · pith_short_8: PAOPJLSA

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/PAOPJLSA6C2XE6ARRLPFXY2TD6 \
  | 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: 781cf4ae40f0b57278118ade5be3531f9351e4cd2239bdf41b07861dd22292b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad270d5305dcdd521277a96e9a1ac694ec010a9652c2971c706c49308e19d6cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-06-08T08:18:21Z",
    "title_canon_sha256": "e5c8cff9ccba47425bfa03f55cf7f963dfc993d851277f2425a1d3a4164d6c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02444",
    "kind": "arxiv",
    "version": 3
  }
}