Pith Number

pith:7MIX2LC5

pith:2012:7MIX2LC5XOLX6XNTJ6ZVVNRU6L

not attested not anchored not stored refs pending

Comparing weak versions of separability

Daniel T. Soukup, Lajos Soukup, Santi Spadaro

arxiv:1210.4986 v1 · 2012-10-17 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MIX2LC5XOLX6XNTJ6ZVVNRU6L}

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	2026-05-18T03:42:54.608094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb117d2c5dbb977f5db34fb35ab634f2ceaf720e73e77537fc7aacc4fe78ba54

Aliases

arxiv: 1210.4986 · arxiv_version: 1210.4986v1 · doi: 10.48550/arxiv.1210.4986 · pith_short_12: 7MIX2LC5XOLX · pith_short_16: 7MIX2LC5XOLX6XNT · pith_short_8: 7MIX2LC5

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/7MIX2LC5XOLX6XNTJ6ZVVNRU6L \
  | 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: fb117d2c5dbb977f5db34fb35ab634f2ceaf720e73e77537fc7aacc4fe78ba54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b04d1650d985b71605a57c0e0359c9978963663148dd5c033fabcf53c0974edb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-10-17T23:18:33Z",
    "title_canon_sha256": "86688f1d12ddf8385e853d17ed2627a7510ca4e8e17640023ff71e16fe753dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4986",
    "kind": "arxiv",
    "version": 1
  }
}