Pith Number

pith:OCLEMTVN

pith:2015:OCLEMTVNUVJ2JILNU52XOSHCIJ

not attested not anchored not stored refs pending

On enumeration of a class of maps on Klein bottle

Ashish Kumar Upadhyay, Dipendu Maity

arxiv:1509.04519 v2 · 2015-09-15 · math.CO · 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{OCLEMTVNUVJ2JILNU52XOSHCIJ}

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	2026-05-18T00:51:34.273290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7096464eada553a4a16da7757748e242450affb344e1ce6c9e7c7a163c570701

Aliases

arxiv: 1509.04519 · arxiv_version: 1509.04519v2 · doi: 10.48550/arxiv.1509.04519 · pith_short_12: OCLEMTVNUVJ2 · pith_short_16: OCLEMTVNUVJ2JILN · pith_short_8: OCLEMTVN

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/OCLEMTVNUVJ2JILNU52XOSHCIJ \
  | 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: 7096464eada553a4a16da7757748e242450affb344e1ce6c9e7c7a163c570701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e92a1c28b83c8c6068122c397096b2b1839ebacd787714f44732f705a8b6f6e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-15T12:29:37Z",
    "title_canon_sha256": "a0cee344373993282995a3ddeadfaced8a25936ca0400af077450f0c72762268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04519",
    "kind": "arxiv",
    "version": 2
  }
}