Pith Number

pith:6C5V4K5F

pith:2010:6C5V4K5FY5REAY2T6VRNHEJSY2

not attested not anchored not stored refs pending

Normal surfaces as combinatorial slicings

Jonathan Spreer

arxiv:1004.0872 v2 · 2010-04-06 · 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{6C5V4K5FY5REAY2T6VRNHEJSY2}

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	2026-05-18T04:00:02.895826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0bb5e2ba5c762406353f562d39132c69e51d427d95af6438ec3b012d51c9746

Aliases

arxiv: 1004.0872 · arxiv_version: 1004.0872v2 · doi: 10.48550/arxiv.1004.0872 · pith_short_12: 6C5V4K5FY5RE · pith_short_16: 6C5V4K5FY5REAY2T · pith_short_8: 6C5V4K5F

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/6C5V4K5FY5REAY2T6VRNHEJSY2 \
  | 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: f0bb5e2ba5c762406353f562d39132c69e51d427d95af6438ec3b012d51c9746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0c352dff6e890020edc6f7d5b8227f1d683175559f8e5c602d2d08d311f7679",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-04-06T15:26:37Z",
    "title_canon_sha256": "b6b1594ea65e3990236aea0210f884730505f427d46969ce0a967d3444aab306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0872",
    "kind": "arxiv",
    "version": 2
  }
}