Pith Number

pith:GJBFPRUP

pith:2018:GJBFPRUP464PYUNCKV3UZYQJYV

not attested not anchored not stored refs pending

An $L^2$-identity and pinned distance problem

Bochen Liu

arxiv:1802.00350 v3 · 2018-02-01 · math.CA · math.AP · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJBFPRUP464PYUNCKV3UZYQJYV}

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	2026-05-17T23:40:09.053718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

324257c68fe7b8fc51a255774ce209c54ba6ddc778aee5b7ed97ff847dc0bb52

Aliases

arxiv: 1802.00350 · arxiv_version: 1802.00350v3 · doi: 10.48550/arxiv.1802.00350 · pith_short_12: GJBFPRUP464P · pith_short_16: GJBFPRUP464PYUNC · pith_short_8: GJBFPRUP

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/GJBFPRUP464PYUNCKV3UZYQJYV \
  | 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: 324257c68fe7b8fc51a255774ce209c54ba6ddc778aee5b7ed97ff847dc0bb52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7959377e0e84915f011e1dcafe9b0b3a1b729645bab2e66ce7d22f517270a6",
    "cross_cats_sorted": [
      "math.AP",
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-02-01T15:36:15Z",
    "title_canon_sha256": "5820b63a13e4504a36022d54a9bd9bee457ec647be0198245aa28dc6ebbd891c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00350",
    "kind": "arxiv",
    "version": 3
  }
}