Pith Number

pith:U6H4FVDH

pith:2018:U6H4FVDHQT5GZ4I4ZAEFZ455F3

not attested not anchored not stored refs pending

Germ order for one-dimensional packings

Aaron Abrams, Alexander Russell, Henry Landau, James Propp, Jamie Pommersheim, Zeph Landau

arxiv:1807.06495 v2 · 2018-07-17 · 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{U6H4FVDHQT5GZ4I4ZAEFZ455F3}

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	2026-07-05T01:12:01.305893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a78fc2d46784fa6cf11cc8085cf3bd2ef921d0f5ce24a0bc7c379039b8b3b162

Aliases

arxiv: 1807.06495 · arxiv_version: 1807.06495v2 · doi: 10.48550/arxiv.1807.06495 · pith_short_12: U6H4FVDHQT5G · pith_short_16: U6H4FVDHQT5GZ4I4 · pith_short_8: U6H4FVDH

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/U6H4FVDHQT5GZ4I4ZAEFZ455F3 \
  | 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: a78fc2d46784fa6cf11cc8085cf3bd2ef921d0f5ce24a0bc7c379039b8b3b162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0e7942d8956e1c5b63a3840d9cf3f9cc746581089d7911d4f09510b473dc0d3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-17T15:19:19Z",
    "title_canon_sha256": "e540f33ba9786058084d5868f3180c84746f82946e1f4918a95718c30e6909cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06495",
    "kind": "arxiv",
    "version": 2
  }
}