Pith Number

pith:RLWWYJCC

pith:2009:RLWWYJCCNUS25AGE7BMSFOAZOV

not attested not anchored not stored refs pending

Projection-Forcing Multisets of Weight Changes

Josh Brown Kramer, Lucas Sabalka

arxiv:0903.4237 v2 · 2009-03-25 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLWWYJCCNUS25AGE7BMSFOAZOV}

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	2026-05-18T04:11:08.894468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aed6c24426d25ae80c4f85922b819755dba6d3b80902113e1fff4c0eb0b85d7

Aliases

arxiv: 0903.4237 · arxiv_version: 0903.4237v2 · doi: 10.48550/arxiv.0903.4237 · pith_short_12: RLWWYJCCNUS2 · pith_short_16: RLWWYJCCNUS25AGE · pith_short_8: RLWWYJCC

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/RLWWYJCCNUS25AGE7BMSFOAZOV \
  | 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: 8aed6c24426d25ae80c4f85922b819755dba6d3b80902113e1fff4c0eb0b85d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74994c4b2cc42787b6b44aecac6fe4b756a6e565154911291d3c4f32184a6933",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-03-25T05:10:36Z",
    "title_canon_sha256": "11350f8daf165a5d3f834dd2eccd760832dc8b6e197dfebf07c8afdd7902109d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4237",
    "kind": "arxiv",
    "version": 2
  }
}