Pith Number

pith:T3IWD7ZS

pith:2016:T3IWD7ZSPCXUJWS7LDINCAA67D

not attested not anchored not stored refs pending

Self-similar space-filling sphere packings in three and four dimensions

D. V. St\"ager, H. J. Herrmann

arxiv:1607.08391 v1 · 2016-07-28 · cond-mat.other · 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{T3IWD7ZSPCXUJWS7LDINCAA67D}

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	2026-05-18T01:10:19.252481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed161ff3278af44da5f58d0d1001ef8dc25026d4b14a7d8c26ba305982d1eb8

Aliases

arxiv: 1607.08391 · arxiv_version: 1607.08391v1 · doi: 10.48550/arxiv.1607.08391 · pith_short_12: T3IWD7ZSPCXU · pith_short_16: T3IWD7ZSPCXUJWS7 · pith_short_8: T3IWD7ZS

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/T3IWD7ZSPCXUJWS7LDINCAA67D \
  | 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: 9ed161ff3278af44da5f58d0d1001ef8dc25026d4b14a7d8c26ba305982d1eb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "285d02960d878ce79b9c9ab327881ef4ff4cf4aa44df482347ce417aac10528b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2016-07-28T10:13:01Z",
    "title_canon_sha256": "ebd15b1e38c1a94177906d00ee093aee36a29f000a1c3cb4c1fdb985e0f9ee7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08391",
    "kind": "arxiv",
    "version": 1
  }
}