Pith Number

pith:FGFPVTGP

pith:2018:FGFPVTGPI3W77JFYPSXZGT2O7K

not attested not anchored not stored refs pending

Circuit presentation and lattice stick number with exactly 4 $z$-sticks

Hyoungjun Kim, Sungjong No

arxiv:1805.00213 v1 · 2018-05-01 · 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{FGFPVTGPI3W77JFYPSXZGT2O7K}

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	2026-05-18T00:17:10.247400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298afacccf46edffa4b87caf934f4efa8c746c5eab1f016c2755dd997747fcd9

Aliases

arxiv: 1805.00213 · arxiv_version: 1805.00213v1 · doi: 10.48550/arxiv.1805.00213 · pith_short_12: FGFPVTGPI3W7 · pith_short_16: FGFPVTGPI3W77JFY · pith_short_8: FGFPVTGP

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/FGFPVTGPI3W77JFYPSXZGT2O7K \
  | 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: 298afacccf46edffa4b87caf934f4efa8c746c5eab1f016c2755dd997747fcd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa05be85e778d56acff4b1d69adebf2ef9a762dc4eaefb55fbbc52e20393f0f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-05-01T07:00:28Z",
    "title_canon_sha256": "4fbecf7939f0a93bcb80e32d48e9d2b37024535e44a718bfe1b3402ff28209d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00213",
    "kind": "arxiv",
    "version": 1
  }
}