Pith Number

pith:7DV4GFHA

pith:2012:7DV4GFHAJPYUKYIVLJFBAXURKE

not attested not anchored not stored refs pending

Distance Geometry for Kissing Spheres

Hao Chen

arxiv:1203.2131 v3 · 2012-03-09 · math.MG · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DV4GFHAJPYUKYIVLJFBAXURKE}

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	2026-05-18T02:17:22.198355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ebc314e04bf14561155a4a105e91510036b37f83a7af3bab6642ac02c3ff90

Aliases

arxiv: 1203.2131 · arxiv_version: 1203.2131v3 · doi: 10.48550/arxiv.1203.2131 · pith_short_12: 7DV4GFHAJPYU · pith_short_16: 7DV4GFHAJPYUKYIV · pith_short_8: 7DV4GFHA

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/7DV4GFHAJPYUKYIVLJFBAXURKE \
  | 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: f8ebc314e04bf14561155a4a105e91510036b37f83a7af3bab6642ac02c3ff90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6feac46be9ee20ec156009ada073f3a90ae80b4dd2d0c11a7baedd6ab14ea74",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-03-09T16:52:12Z",
    "title_canon_sha256": "506fc0851fce1e2d525e67e4b932b32b2de8422af11e8d08d77c10f5d4d58cd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2131",
    "kind": "arxiv",
    "version": 3
  }
}