Pith Number

pith:VXMEXTGF

pith:2016:VXMEXTGFFUZJ5UFHPTG6SMRD3C

not attested not anchored not stored refs pending

On Unfair Permutations

Cihan Pehlivan, \.Ilker Arslan, \"Umit I\c{s}lak

arxiv:1611.07275 v3 · 2016-11-22 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXMEXTGFFUZJ5UFHPTG6SMRD3C}

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	2026-05-18T00:14:34.870575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add84bccc52d329ed0a77ccde93223d8b4267b12b473a5cea6c8ca8e7719e2f2

Aliases

arxiv: 1611.07275 · arxiv_version: 1611.07275v3 · doi: 10.48550/arxiv.1611.07275 · pith_short_12: VXMEXTGFFUZJ · pith_short_16: VXMEXTGFFUZJ5UFH · pith_short_8: VXMEXTGF

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/VXMEXTGFFUZJ5UFHPTG6SMRD3C \
  | 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: add84bccc52d329ed0a77ccde93223d8b4267b12b473a5cea6c8ca8e7719e2f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6badf961149329d6b2a8c108f298592b03237729b05a19a5d74aed64ef8632db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-22T12:44:17Z",
    "title_canon_sha256": "698f93812e77ff7e6544848cedb03c53487d36acf28826fee5e370128a5b7377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07275",
    "kind": "arxiv",
    "version": 3
  }
}