Pith Number

pith:R7ZBOX4C

pith:2014:R7ZBOX4CNYCIXIPPDETAR4T4PI

not attested not anchored not stored refs pending

On Additive Combinatorics of Permutations of \mathbb{Z}_n

Deepak Rajendraprasad, L. Sunil Chandran, Nitin Singh

arxiv:1402.3970 v1 · 2014-02-17 · 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{R7ZBOX4CNYCIXIPPDETAR4T4PI}

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	2026-05-18T02:58:54.987046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ff2175f826e048ba1ef192608f27c7a10ebc61348b6efca50e5dd8821bc0a9b

Aliases

arxiv: 1402.3970 · arxiv_version: 1402.3970v1 · doi: 10.48550/arxiv.1402.3970 · pith_short_12: R7ZBOX4CNYCI · pith_short_16: R7ZBOX4CNYCIXIPP · pith_short_8: R7ZBOX4C

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/R7ZBOX4CNYCIXIPPDETAR4T4PI \
  | 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: 8ff2175f826e048ba1ef192608f27c7a10ebc61348b6efca50e5dd8821bc0a9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6c4ccfe29b21d3f93d3df6f27a8a3c05d63a170f88888c5e40ffb5412ac71db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-17T11:36:19Z",
    "title_canon_sha256": "76427afd01c1118f09ea2e25fec16ffedc407fdbe2ea7afe642aa819fb6f1929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3970",
    "kind": "arxiv",
    "version": 1
  }
}