Pith Number

pith:JVW4LB6R

pith:2026:JVW4LB6RRCBYI33MONKNWIEZNQ

not attested not anchored not stored refs pending

A Forward-Backward Weight Analysis of INW for Permutation Branching Programs

Dean Doron, Gil Cohen, Noam Goldgraber

arxiv:2607.18168 v1 · 2026-07-20 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVW4LB6RRCBYI33MONKNWIEZNQ}

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	2026-07-21T02:22:20.010524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d6dc587d18883846f6c7354db20996c2e14c0013b46cce47ab42834fed8355b

Aliases

arxiv: 2607.18168 · arxiv_version: 2607.18168v1 · doi: 10.48550/arxiv.2607.18168 · pith_short_12: JVW4LB6RRCBY · pith_short_16: JVW4LB6RRCBYI33M · pith_short_8: JVW4LB6R

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/JVW4LB6RRCBYI33MONKNWIEZNQ \
  | 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: 4d6dc587d18883846f6c7354db20996c2e14c0013b46cce47ab42834fed8355b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6f8a3ef4259236da900503cb9dbda2a2b96c8efb8d0da6d21b74d8ea97ef200",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-07-20T17:11:02Z",
    "title_canon_sha256": "70d01cde9e04b78a3324fbd16e75508c0ec6a251449a17334c0d3506f8372f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18168",
    "kind": "arxiv",
    "version": 1
  }
}