Pith Number

pith:VSA4DBWC

pith:2015:VSA4DBWCA5OUQJIBYSO2M3PCFX

not attested not anchored not stored refs pending

Integer sets with identical representation functions

Vsevolod F. Lev, Yong-Gao Chen

arxiv:1511.00948 v2 · 2015-11-03 · 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{VSA4DBWCA5OUQJIBYSO2M3PCFX}

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	2026-05-18T01:27:48.146815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac81c186c2075d482501c49da66de22dd3ebfb455b7c3e9dba237da5a4a42a65

Aliases

arxiv: 1511.00948 · arxiv_version: 1511.00948v2 · doi: 10.48550/arxiv.1511.00948 · pith_short_12: VSA4DBWCA5OU · pith_short_16: VSA4DBWCA5OUQJIB · pith_short_8: VSA4DBWC

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/VSA4DBWCA5OUQJIBYSO2M3PCFX \
  | 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: ac81c186c2075d482501c49da66de22dd3ebfb455b7c3e9dba237da5a4a42a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc508f5f8d5f12b2108d6136ab660696e116bd2dea1f2102f0a5ffd52c142fa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-03T15:34:33Z",
    "title_canon_sha256": "d70e74a9fd22ebfbc110a5085107310fd01b7a9dc25341927bbcf2194f3e60a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00948",
    "kind": "arxiv",
    "version": 2
  }
}