Pith Number

pith:UMTAGPFB

pith:2022:UMTAGPFBZC23D7BLZSYZ4YMXHR

not attested not anchored not stored refs pending

2-semi-equivelar maps on the torus and Klein bottle with few vertices

Amit Tripathi, Anand Kumar Tiwari, Yogendra Singh

arxiv:2206.06148 v1 · 2022-06-13 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMTAGPFBZC23D7BLZSYZ4YMXHR}

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	2026-07-05T04:31:15.916398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a326033ca1c8b5b1fc2bccb19e61973c6dfc4384386ad07646c7f46553906d8a

Aliases

arxiv: 2206.06148 · arxiv_version: 2206.06148v1 · doi: 10.48550/arxiv.2206.06148 · pith_short_12: UMTAGPFBZC23 · pith_short_16: UMTAGPFBZC23D7BL · pith_short_8: UMTAGPFB

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/UMTAGPFBZC23D7BLZSYZ4YMXHR \
  | 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: a326033ca1c8b5b1fc2bccb19e61973c6dfc4384386ad07646c7f46553906d8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a516364cbef24b4f4325ebc74418d4d11a3512ada018c5eb1f49736b8c96b39",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-13T13:30:41Z",
    "title_canon_sha256": "f53ee3d46b807e3d117e91c157bb77bd8c9af89810a96e580c25bdf5ea9476c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.06148",
    "kind": "arxiv",
    "version": 1
  }
}