Pith Number

pith:O53PXBCW

pith:2025:O53PXBCW7BJBVO5PGABTTY3MXL

not attested not anchored not stored refs pending

Twist maps and codimension-1 spun embeddings

Kuldeep Saha, Shital Lawande

arxiv:2509.06168 v1 · 2025-09-07 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O53PXBCW7BJBVO5PGABTTY3MXL}

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	2026-07-05T12:06:30.922941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7776fb8456f8521abbaf300339e36cbad16f62d758391dd4cb21e5eac2005468

Aliases

arxiv: 2509.06168 · arxiv_version: 2509.06168v1 · doi: 10.48550/arxiv.2509.06168 · pith_short_12: O53PXBCW7BJB · pith_short_16: O53PXBCW7BJBVO5P · pith_short_8: O53PXBCW

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/O53PXBCW7BJBVO5PGABTTY3MXL \
  | 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: 7776fb8456f8521abbaf300339e36cbad16f62d758391dd4cb21e5eac2005468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a1d699c9cb92124a19fc71443b9d79581a13934cdfa9add70ad3efac5d4e04c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-09-07T18:37:54Z",
    "title_canon_sha256": "19308fceae453b0655a1aaa70f6820a7a017cc2692a6c62c85064a844ae3a556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06168",
    "kind": "arxiv",
    "version": 1
  }
}