Pith Number

pith:TDDWPSTL

pith:2016:TDDWPSTLKYA2X3HMS2XGPMP4AM

not attested not anchored not stored refs pending

On the structure of finitely generated shift-invariant subspaces

K.S. Kazarian

arxiv:1605.02456 v2 · 2016-05-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDDWPSTLKYA2X3HMS2XGPMP4AM}

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	2026-05-17T23:43:18.809611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98c767ca6b5601abecec96ae67b1fc0325a07f0427a6a9c29aee111b5f067cd8

Aliases

arxiv: 1605.02456 · arxiv_version: 1605.02456v2 · doi: 10.48550/arxiv.1605.02456 · pith_short_12: TDDWPSTLKYA2 · pith_short_16: TDDWPSTLKYA2X3HM · pith_short_8: TDDWPSTL

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/TDDWPSTLKYA2X3HMS2XGPMP4AM \
  | 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: 98c767ca6b5601abecec96ae67b1fc0325a07f0427a6a9c29aee111b5f067cd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "149cc43ada295f67689a35dd3f8c101ebc4e642bda80b5c39667a1b45f451925",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-09T07:45:24Z",
    "title_canon_sha256": "426e0a419fdc2a83e57b88a95f3421536e49b90ea7a4947593d8f88eb1f6eb01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02456",
    "kind": "arxiv",
    "version": 2
  }
}