Pith Number

pith:FFC2ASWD

pith:2015:FFC2ASWDAAKAHPP6V5H6MYPHJR

not attested not anchored not stored refs pending

Semi - Equivelar Maps on the Torus and the Klein Bottle with few vertices

Anand Kumar Tiwari, Ashish K. Upadhyay

arxiv:1509.07325 v1 · 2015-09-24 · math.GT · math.AT · 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{FFC2ASWDAAKAHPP6V5H6MYPHJR}

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	2026-05-18T01:32:09.307424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2945a04ac3001403bdfeaf4fe661e74c40166c0d30c69d55be640dcd95ab9918

Aliases

arxiv: 1509.07325 · arxiv_version: 1509.07325v1 · doi: 10.48550/arxiv.1509.07325 · pith_short_12: FFC2ASWDAAKA · pith_short_16: FFC2ASWDAAKAHPP6 · pith_short_8: FFC2ASWD

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/FFC2ASWDAAKAHPP6V5H6MYPHJR \
  | 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: 2945a04ac3001403bdfeaf4fe661e74c40166c0d30c69d55be640dcd95ab9918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f14df1a59c2719adf4855cd30b2e5417171928587b050f936a12dba6ff43226",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-24T11:42:43Z",
    "title_canon_sha256": "3de30a5b3cffb126e7c4770308f356ad4e6992aeca72f14c1ac9ed0c633f9203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07325",
    "kind": "arxiv",
    "version": 1
  }
}