Pith Number

pith:CMKDNDIY

pith:2025:CMKDNDIYYGHOCBDXGC5NPJWZRZ

not attested not anchored not stored refs pending

The topology of local quaternionic toric actions

Ioannis Gkeneralis, Panagiotis Batakidis

arxiv:2512.07707 v2 · 2025-12-08 · math.GT · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMKDNDIYYGHOCBDXGC5NPJWZRZ}

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	2026-06-08T01:05:05.247684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1314368d18c18ee1047730bad7a6d98e58a5f535ca9bda51ce7af2169b8a7756

Aliases

arxiv: 2512.07707 · arxiv_version: 2512.07707v2 · doi: 10.48550/arxiv.2512.07707 · pith_short_12: CMKDNDIYYGHO · pith_short_16: CMKDNDIYYGHOCBDX · pith_short_8: CMKDNDIY

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/CMKDNDIYYGHOCBDXGC5NPJWZRZ \
  | 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: 1314368d18c18ee1047730bad7a6d98e58a5f535ca9bda51ce7af2169b8a7756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7055968813d595fda73fc67e573cd88d7d95e12107d017e032dba96c64b42c15",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-12-08T16:53:01Z",
    "title_canon_sha256": "76356aca935bc8a30358f532f15ee07c636f2417e03b054c1f00b8485b99e496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.07707",
    "kind": "arxiv",
    "version": 2
  }
}