Pith Number

pith:Q5B7NNDF

pith:2026:Q5B7NNDFKUBQWP4NFW6I3CIMO3

not attested not anchored not stored refs pending

Prescribed Initial Behavior of $\mu(I^k)$

Reza Abdolmaleki, Shinya Kumashiro

arxiv:2606.22933 v1 · 2026-06-22 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5B7NNDFKUBQWP4NFW6I3CIMO3}

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	2026-06-23T03:14:04.640545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8743f6b46555030b3f8d2dbc8d890c76ebdfc31ae6a5de299ad03890a6b9020e

Aliases

arxiv: 2606.22933 · arxiv_version: 2606.22933v1 · doi: 10.48550/arxiv.2606.22933 · pith_short_12: Q5B7NNDFKUBQ · pith_short_16: Q5B7NNDFKUBQWP4N · pith_short_8: Q5B7NNDF

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/Q5B7NNDFKUBQWP4NFW6I3CIMO3 \
  | 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: 8743f6b46555030b3f8d2dbc8d890c76ebdfc31ae6a5de299ad03890a6b9020e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2328d3d742e0aee12ac85a72f3cdc53aabc44cfc4406e79d48b1ce8ae4e641b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-22T07:10:04Z",
    "title_canon_sha256": "743ca417fb553107108b88ef5e1f7ac952682eb42efaf1111db81208965e6ae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22933",
    "kind": "arxiv",
    "version": 1
  }
}