Pith Number

pith:RKMNYSCW

pith:2015:RKMNYSCWGREO4PV5WVMTEHWMZL

not attested not anchored not stored refs pending

Upper bounds on pairs of dot products

Daniel Barker, Steven Senger

arxiv:1502.01729 v1 · 2015-02-05 · 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{RKMNYSCWGREO4PV5WVMTEHWMZL}

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	2026-05-18T02:27:50.760288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a98dc48563448ee3ebdb559321ecccafbe54dc672d8a4eaf3e624128a1644cf

Aliases

arxiv: 1502.01729 · arxiv_version: 1502.01729v1 · doi: 10.48550/arxiv.1502.01729 · pith_short_12: RKMNYSCWGREO · pith_short_16: RKMNYSCWGREO4PV5 · pith_short_8: RKMNYSCW

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/RKMNYSCWGREO4PV5WVMTEHWMZL \
  | 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: 8a98dc48563448ee3ebdb559321ecccafbe54dc672d8a4eaf3e624128a1644cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c223b88e8ec2434a1b1f1d0981fbf47e9a2c8e77ae2262ef390d66c3a7b7f3f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-05T21:10:46Z",
    "title_canon_sha256": "42618ca5e9cfb75aecb2ef3fb1edafcfa1513187f259eaab4079e8a1063bfcd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01729",
    "kind": "arxiv",
    "version": 1
  }
}