Pith Number

pith:U7Y53TB6

pith:2018:U7Y53TB6CRVISW22PQA7GAKZ3U

not attested not anchored not stored refs pending

A note on free vector balleans

Igor Protasov, Ksenia Protasova

arxiv:1812.01848 v2 · 2018-12-05 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7Y53TB6CRVISW22PQA7GAKZ3U}

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	2026-05-17T23:57:07.237839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f1ddcc3e146a895b5a7c01f30159dd3d0d71813443428bdf4ea8b3cb85050e

Aliases

arxiv: 1812.01848 · arxiv_version: 1812.01848v2 · doi: 10.48550/arxiv.1812.01848 · pith_short_12: U7Y53TB6CRVI · pith_short_16: U7Y53TB6CRVISW22 · pith_short_8: U7Y53TB6

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/U7Y53TB6CRVISW22PQA7GAKZ3U \
  | 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: a7f1ddcc3e146a895b5a7c01f30159dd3d0d71813443428bdf4ea8b3cb85050e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79acb1c121078f3edc5833f8fde65c89f656f63d640906bce4ebe22f6e5811d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-12-05T08:14:54Z",
    "title_canon_sha256": "bbbd29ffedb22a35c5d9a67e6c189fcf9f4b5361ae732551c721f46fe689cdad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01848",
    "kind": "arxiv",
    "version": 2
  }
}