Pith Number

pith:H54WPQH5

pith:2012:H54WPQH5DT2JJTO2UM3NAVYQJH

not attested not anchored not stored refs pending

A restricted shift completeness problem

Alexander Borichev, Anton Baranov, Yurii Belov

arxiv:1204.4648 v1 · 2012-04-20 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H54WPQH5DT2JJTO2UM3NAVYQJH}

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	2026-05-18T03:03:55.255953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f7967c0fd1cf494cddaa336d0571049eef5f67058e3bf1736eabfbc5e79ac57

Aliases

arxiv: 1204.4648 · arxiv_version: 1204.4648v1 · doi: 10.48550/arxiv.1204.4648 · pith_short_12: H54WPQH5DT2J · pith_short_16: H54WPQH5DT2JJTO2 · pith_short_8: H54WPQH5

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/H54WPQH5DT2JJTO2UM3NAVYQJH \
  | 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: 3f7967c0fd1cf494cddaa336d0571049eef5f67058e3bf1736eabfbc5e79ac57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "949ce30a0db10c017bbb4732c004be4c37f746c56c938e4323bacdbb7e71195a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-04-20T14:36:30Z",
    "title_canon_sha256": "6cd37efba2bc6414ea965cbe8b0e2ac83a99e934328a2c1583bd45b43ba5f56d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4648",
    "kind": "arxiv",
    "version": 1
  }
}