Pith Number

pith:3LZXY6IX

pith:2019:3LZXY6IXONPM6F3FSYV5I4WDK4

not attested not anchored not stored refs pending

Linear independences of maps associated to partitions

Stefan Jung

arxiv:1906.10533 v1 · 2019-06-25 · 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{3LZXY6IXONPM6F3FSYV5I4WDK4}

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	2026-05-17T23:42:16.082878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daf37c7917735ecf1765962bd472c35712f64c68491d87e73394253816ec16bb

Aliases

arxiv: 1906.10533 · arxiv_version: 1906.10533v1 · doi: 10.48550/arxiv.1906.10533 · pith_short_12: 3LZXY6IXONPM · pith_short_16: 3LZXY6IXONPM6F3F · pith_short_8: 3LZXY6IX

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/3LZXY6IXONPM6F3FSYV5I4WDK4 \
  | 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: daf37c7917735ecf1765962bd472c35712f64c68491d87e73394253816ec16bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a670c91d391570af6b591a969565fbdfe2bf50b020792db88f82c5fd08371b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-25T13:56:27Z",
    "title_canon_sha256": "d179ae8309ac64950a50778d2c53826f4ebac0797dbafd58daf6aff378032da1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10533",
    "kind": "arxiv",
    "version": 1
  }
}