Pith Number

pith:VTTJQCQT

pith:2013:VTTJQCQTYIOWWQZNCD3T6UX4F5

not attested not anchored not stored refs pending

Group actions and geometric combinatorics in ${\mathbb F}_q^d$

A. Iosevich, D. Hart, J. Pakianathan, M. Bennett, M. Rudnev

arxiv:1311.4788 v1 · 2013-11-19 · math.CO · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTTJQCQTYIOWWQZNCD3T6UX4F5}

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	2026-05-18T03:06:43.473494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace6980a13c21d6b432d10f73f52fc2f6f799da158422656cfc985a17ee9f41d

Aliases

arxiv: 1311.4788 · arxiv_version: 1311.4788v1 · doi: 10.48550/arxiv.1311.4788 · pith_short_12: VTTJQCQTYIOW · pith_short_16: VTTJQCQTYIOWWQZN · pith_short_8: VTTJQCQT

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/VTTJQCQTYIOWWQZNCD3T6UX4F5 \
  | 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: ace6980a13c21d6b432d10f73f52fc2f6f799da158422656cfc985a17ee9f41d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed7698aa532979924f1c4581d5ddbb1e34cef26810176e1ad2acb4ba8421191d",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-19T15:57:17Z",
    "title_canon_sha256": "500f4f21441de55e4a0836662f030dcdfa84e85f346221911adea39399779a0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4788",
    "kind": "arxiv",
    "version": 1
  }
}