Pith Number

pith:DXH2ETJ4

pith:2013:DXH2ETJ4JLY7J5R4AVBYF66SS7

not attested not anchored not stored refs pending

Checkerboard embeddings of *-graphs into nonorientable surfaces

Tyler Friesen, Vassily Olegovich Manturov

arxiv:1312.6342 v2 · 2013-12-22 · 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{DXH2ETJ4JLY7J5R4AVBYF66SS7}

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	2026-05-18T03:03:31.482657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dcfa24d3c4af1f4f63c054382fbd297d17fe775f69088de628b0b094931dbd8

Aliases

arxiv: 1312.6342 · arxiv_version: 1312.6342v2 · doi: 10.48550/arxiv.1312.6342 · pith_short_12: DXH2ETJ4JLY7 · pith_short_16: DXH2ETJ4JLY7J5R4 · pith_short_8: DXH2ETJ4

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/DXH2ETJ4JLY7J5R4AVBYF66SS7 \
  | 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: 1dcfa24d3c4af1f4f63c054382fbd297d17fe775f69088de628b0b094931dbd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b75870808d608a3ea56a2db99469a8bc0aa9ce29a89ecad5f2a238f6685286db",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-22T04:35:06Z",
    "title_canon_sha256": "4d06d2630d61065646bfb096ce535e9b7748bf83c1b00504eb1e69b919ac169e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6342",
    "kind": "arxiv",
    "version": 2
  }
}