Pith Number

pith:2JTSRCDB

pith:2026:2JTSRCDB7KWC33C5GLFHGB52FR

not attested not anchored not stored refs pending

Essentially commuting projections onto shift-invariant subspaces

Rounak Biswas, Srijan Sarkar

arxiv:2606.25649 v1 · 2026-06-24 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JTSRCDB7KWC33C5GLFHGB52FR}

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	2026-06-25T01:18:11.644196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d267288861faac2dec5d32ca7307ba2c77821e256f2c21e6d532c9888d9ff873

Aliases

arxiv: 2606.25649 · arxiv_version: 2606.25649v1 · doi: 10.48550/arxiv.2606.25649 · pith_short_12: 2JTSRCDB7KWC · pith_short_16: 2JTSRCDB7KWC33C5 · pith_short_8: 2JTSRCDB

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/2JTSRCDB7KWC33C5GLFHGB52FR \
  | 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: d267288861faac2dec5d32ca7307ba2c77821e256f2c21e6d532c9888d9ff873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e1417179e25f6178ab554ce89822e9f5368f5e5cf7edfee664dc893b420e432",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-24T10:07:33Z",
    "title_canon_sha256": "ab5793a34d36b426a40c69cdb405d6902f017984270f98e5df36ceae6c11c0b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25649",
    "kind": "arxiv",
    "version": 1
  }
}