Pith Number

pith:ZYMAQLGZ

pith:2026:ZYMAQLGZNSBJTGRJZUUJWHTERO

not attested not anchored not stored refs pending

Symmetric 2-cocycles with values in $\mathbb{C}^\times$

Mohamad Maassarani

arxiv:2605.19724 v1 · 2026-05-19 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYMAQLGZNSBJTGRJZUUJWHTERO}

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	2026-05-20T01:06:11.049236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce18082cd96c82999a29cd289b1e648bb42945b6004784fa6238608399a8c101

Aliases

arxiv: 2605.19724 · arxiv_version: 2605.19724v1 · doi: 10.48550/arxiv.2605.19724 · pith_short_12: ZYMAQLGZNSBJ · pith_short_16: ZYMAQLGZNSBJTGRJ · pith_short_8: ZYMAQLGZ

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/ZYMAQLGZNSBJTGRJZUUJWHTERO \
  | 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: ce18082cd96c82999a29cd289b1e648bb42945b6004784fa6238608399a8c101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b133442dca5ab1e8bcf60dccacb213f689bade312107ba915a4e813cc93bb29",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-19T11:58:47Z",
    "title_canon_sha256": "c6e4fd9f0b807716535d7395bbf91b80c6bfc8c84f1d7d372cfbd0d6fc5c3e7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19724",
    "kind": "arxiv",
    "version": 1
  }
}