Pith Number

pith:GATPQOTK

pith:2014:GATPQOTKSPY5MS37U7YTGXWU7X

not attested not anchored not stored refs pending

Incidences between points and generalized spheres over finite fields and related problems

Le Anh Vinh, Nguyen Duy Phuong, Pham Van Thang

arxiv:1410.7899 v2 · 2014-10-29 · 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{GATPQOTKSPY5MS37U7YTGXWU7X}

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	2026-05-18T01:08:35.931150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3026f83a6a93f1d64b7fa7f1335ed4fdc40c11e0168db7058612301a9b1cb450

Aliases

arxiv: 1410.7899 · arxiv_version: 1410.7899v2 · doi: 10.48550/arxiv.1410.7899 · pith_short_12: GATPQOTKSPY5 · pith_short_16: GATPQOTKSPY5MS37 · pith_short_8: GATPQOTK

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/GATPQOTKSPY5MS37U7YTGXWU7X \
  | 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: 3026f83a6a93f1d64b7fa7f1335ed4fdc40c11e0168db7058612301a9b1cb450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59c21d89cff1787ea81695b4b39708d53dfa9c35e1bc2795bbbde16b33622893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-29T08:32:20Z",
    "title_canon_sha256": "3c1f6b941f24a9d08af7955321383db7d08bb5840ffb114d85d1c62f3d27fcfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7899",
    "kind": "arxiv",
    "version": 2
  }
}