Pith Number

pith:77PLU57F

pith:2014:77PLU57FXOAXJB7O5PXZLHO5WH

not attested not anchored not stored refs pending

Shallow Packings in Geometry

Esther Ezra

arxiv:1412.5215 v1 · 2014-12-16 · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77PLU57FXOAXJB7O5PXZLHO5WH}

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	2026-05-18T02:31:09.261657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffdeba77e5bb817487eeebef959dddb1f955db870413d3e16b3d225f3d11405f

Aliases

arxiv: 1412.5215 · arxiv_version: 1412.5215v1 · doi: 10.48550/arxiv.1412.5215 · pith_short_12: 77PLU57FXOAX · pith_short_16: 77PLU57FXOAXJB7O · pith_short_8: 77PLU57F

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/77PLU57FXOAXJB7O5PXZLHO5WH \
  | 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: ffdeba77e5bb817487eeebef959dddb1f955db870413d3e16b3d225f3d11405f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb970d961f06ddd7141d10faa8bbcc9640a30ddc93d43fc51f26d54f1228f8b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2014-12-16T22:19:40Z",
    "title_canon_sha256": "fcbea64491c78498f2b853dab4ce5e551910ad821aed5734d4f012d31c1250f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5215",
    "kind": "arxiv",
    "version": 1
  }
}