Pith Number

pith:VZG32VHX

pith:2017:VZG32VHXIB3JLJAFSUQTMX74EH

not attested not anchored not stored refs pending

Computational complexity and 3-manifolds and zombies

Eric Samperton (UC Davis), Greg Kuperberg (UC Davis)

arxiv:1707.03811 v1 · 2017-07-12 · math.GT · cs.CC · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZG32VHXIB3JLJAFSUQTMX74EH}

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	2026-05-18T00:04:17.823983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae4dbd54f7407695a4059521365ffc21d33c3494f526df5bd2969374654d824a

Aliases

arxiv: 1707.03811 · arxiv_version: 1707.03811v1 · doi: 10.48550/arxiv.1707.03811 · pith_short_12: VZG32VHXIB3J · pith_short_16: VZG32VHXIB3JLJAF · pith_short_8: VZG32VHX

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/VZG32VHXIB3JLJAFSUQTMX74EH \
  | 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: ae4dbd54f7407695a4059521365ffc21d33c3494f526df5bd2969374654d824a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07200005ee1b5fe86bbc443012d1619307e7382cae0f3ffad13c207d47381192",
    "cross_cats_sorted": [
      "cs.CC",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-07-12T17:39:46Z",
    "title_canon_sha256": "f4e7cbf72bece7e868d878f2874c95ce79f63597f1fefd27f572bd2e05735bd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03811",
    "kind": "arxiv",
    "version": 1
  }
}