Pith Number

pith:JZBZ2AL4

pith:2012:JZBZ2AL4MLFRQZXY7DMVP5G3ED

not attested not anchored not stored refs pending

Cavity approach to sphere packing in Hamming space

A. Ramezanpour, R. Zecchina

arxiv:1201.3863 v2 · 2012-01-18 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZBZ2AL4MLFRQZXY7DMVP5G3ED}

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	2026-05-18T01:58:47.206492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e439d017c62cb1866f8f8d957f4db20fc67ab99b276732b4c224a7303c895d9

Aliases

arxiv: 1201.3863 · arxiv_version: 1201.3863v2 · doi: 10.48550/arxiv.1201.3863 · pith_short_12: JZBZ2AL4MLFR · pith_short_16: JZBZ2AL4MLFRQZXY · pith_short_8: JZBZ2AL4

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/JZBZ2AL4MLFRQZXY7DMVP5G3ED \
  | 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: 4e439d017c62cb1866f8f8d957f4db20fc67ab99b276732b4c224a7303c895d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "403563815aee44535d3485becb2150cde94cc1f232a0721985225e08cfe1100d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-01-18T17:30:20Z",
    "title_canon_sha256": "70cd69dd34018be6f25b8b66c4178a6ab25643091de744828e9f8b8a2d53b820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3863",
    "kind": "arxiv",
    "version": 2
  }
}