Pith Number

pith:O4IQQBMG

pith:2013:O4IQQBMGTH5LXMXUP7OJMTBYR3

not attested not anchored not stored refs pending

Seven, eight, and nine mutually touching infinitely long straight round cylinders: Entanglement in Euclidean space

Mansoo Choi, Peter V. Pikhitsa

arxiv:1312.6207 v2 · 2013-12-21 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4IQQBMGTH5LXMXUP7OJMTBYR3}

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	2026-05-18T02:55:27.296227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771108058699fabbb2f47fdc964c388eff6ea9acbe2602de997f3bbc2621faf6

Aliases

arxiv: 1312.6207 · arxiv_version: 1312.6207v2 · doi: 10.48550/arxiv.1312.6207 · pith_short_12: O4IQQBMGTH5L · pith_short_16: O4IQQBMGTH5LXMXU · pith_short_8: O4IQQBMG

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/O4IQQBMGTH5LXMXUP7OJMTBYR3 \
  | 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: 771108058699fabbb2f47fdc964c388eff6ea9acbe2602de997f3bbc2621faf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ccea29375f04d47155903328fa1ec986a228e220985b992b9382dfab1bc959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-12-21T05:39:22Z",
    "title_canon_sha256": "3072ba24f7bc2f074732bf12f2b6fc371892fd38e4d2f25d58c5abc76fc6c3a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6207",
    "kind": "arxiv",
    "version": 2
  }
}