Pith Number

pith:OE2JQZ6S

pith:2015:OE2JQZ6SIX4RQIBY65547TODDX

not attested not anchored not stored refs pending

Discrepancy of High-Dimensional Permutations

Nathan Linial, Zur Luria

arxiv:1512.04123 v2 · 2015-12-13 · 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{OE2JQZ6SIX4RQIBY65547TODDX}

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	2026-05-18T01:10:38.144191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71349867d245f9182038f77bcfcdc31deec5a0f30ddc50fc46384f6b21a40f5e

Aliases

arxiv: 1512.04123 · arxiv_version: 1512.04123v2 · doi: 10.48550/arxiv.1512.04123 · pith_short_12: OE2JQZ6SIX4R · pith_short_16: OE2JQZ6SIX4RQIBY · pith_short_8: OE2JQZ6S

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/OE2JQZ6SIX4RQIBY65547TODDX \
  | 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: 71349867d245f9182038f77bcfcdc31deec5a0f30ddc50fc46384f6b21a40f5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7129e04faff8ba0b7699d25ed9f1b5b8e72fe3e526230a05f1de539bdcadbd85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-13T21:16:56Z",
    "title_canon_sha256": "c1ac69869dd2e579faf7a182feb76ab3d301d29f731b0f5b5af51aca051b7787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04123",
    "kind": "arxiv",
    "version": 2
  }
}