Pith Number

pith:4QPM7FPP

pith:2023:4QPM7FPPV5FTGR3XLK5JFGZEFW

not attested not anchored not stored refs pending

Discrete Algebraic sets in Discrete Manifolds

Oliver Knill

arxiv:2312.14671 v1 · 2023-12-22 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QPM7FPPV5FTGR3XLK5JFGZEFW}

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.

Cited by

1 paper in Pith

Dehn Sommerville Manifolds

Receipt and verification

First computed	2026-07-05T07:27:18.378366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e41ecf95efaf4b3347775aba929b242db6a34807ecf8daabb7f4c099c0fef9ba

Aliases

arxiv: 2312.14671 · arxiv_version: 2312.14671v1 · doi: 10.48550/arxiv.2312.14671 · pith_short_12: 4QPM7FPPV5FT · pith_short_16: 4QPM7FPPV5FTGR3X · pith_short_8: 4QPM7FPP

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/4QPM7FPPV5FTGR3XLK5JFGZEFW \
  | 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: e41ecf95efaf4b3347775aba929b242db6a34807ecf8daabb7f4c099c0fef9ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78a6df3e8ac9dade4855f7ca5144d85628f70681816801d37a98c53bf9226fbd",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-12-22T13:15:43Z",
    "title_canon_sha256": "cec621cb0cddddbcb972f969bb26f919a294cc7af60a4a9cc6ca2f0108bc45bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.14671",
    "kind": "arxiv",
    "version": 1
  }
}