Pith Number

pith:EFYRPKAA

pith:2020:EFYRPKAAT4G5S33BEOJM2YWBFA

not attested not anchored not stored refs pending

Stability of $\mathbb{Z}^2$ configurations in 3D

Laurent B\'etermin, Manuel Friedrich, Ulisse Stefanelli

arxiv:2009.11503 v3 · 2020-09-24 · 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{EFYRPKAAT4G5S33BEOJM2YWBFA}

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	2026-07-05T03:38:13.458790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217117a8009f0dd96f612392cd62c1283ba7e4b1abf8a85fdf34c5d2298011a3

Aliases

arxiv: 2009.11503 · arxiv_version: 2009.11503v3 · doi: 10.48550/arxiv.2009.11503 · pith_short_12: EFYRPKAAT4G5 · pith_short_16: EFYRPKAAT4G5S33B · pith_short_8: EFYRPKAA

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/EFYRPKAAT4G5S33BEOJM2YWBFA \
  | 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: 217117a8009f0dd96f612392cd62c1283ba7e4b1abf8a85fdf34c5d2298011a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f0c850b1e33f985404e04a18ecf3b8c5fa1bf58af56281be4d66f5523d1db8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-24T06:13:35Z",
    "title_canon_sha256": "70b1f7539dcd4be2bb5e1f7e0dd413abaf3784f359a20ac8f3c0366635278002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.11503",
    "kind": "arxiv",
    "version": 3
  }
}