Pith Number

pith:ZKADUITL

pith:2017:ZKADUITLC3HAYYUYQZYPATY36U

not attested not anchored not stored refs pending

Embeddability in $\mathbb{R}^3$ is NP-hard

Arnaud de Mesmay, Eric Sedgwick, Martin Tancer, Yo'av Rieck

arxiv:1708.07734 v2 · 2017-08-25 · math.GT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKADUITLC3HAYYUYQZYPATY36U}

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	2026-05-18T00:07:33.052725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca803a226b16ce0c62988670f04f1bf51d4d9c81295c91eb1ce3a8f5a9ca6858

Aliases

arxiv: 1708.07734 · arxiv_version: 1708.07734v2 · doi: 10.48550/arxiv.1708.07734 · pith_short_12: ZKADUITLC3HA · pith_short_16: ZKADUITLC3HAYYUY · pith_short_8: ZKADUITL

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/ZKADUITLC3HAYYUYQZYPATY36U \
  | 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: ca803a226b16ce0c62988670f04f1bf51d4d9c81295c91eb1ce3a8f5a9ca6858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c197af9889f8df4718903d7d0fe8a4f7b48638c7b1f0e249f75d109457c4bb1f",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-08-25T13:38:17Z",
    "title_canon_sha256": "5b22ba719061bd56a793f71073bd6e8fb29e2123fc8d747c2dde60e8a87fda03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07734",
    "kind": "arxiv",
    "version": 2
  }
}