Pith Number

pith:D77PP5YC

pith:2006:D77PP5YC2HFE4K42I7KE5RPFVJ

not attested not anchored not stored refs pending

Linear programming bounds for codes in Grassmannian spaces

Christine Bachoc

arxiv:math/0610812 v1 · 2006-10-26 · 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{D77PP5YC2HFE4K42I7KE5RPFVJ}

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	2026-05-18T00:57:44.882937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ffef7f702d1ca4e2b9a47d44ec5e5aa417b2863bd30daf37dbd6afbbf64a579

Aliases

arxiv: math/0610812 · arxiv_version: math/0610812v1 · doi: 10.48550/arxiv.math/0610812 · pith_short_12: D77PP5YC2HFE · pith_short_16: D77PP5YC2HFE4K42 · pith_short_8: D77PP5YC

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/D77PP5YC2HFE4K42I7KE5RPFVJ \
  | 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: 1ffef7f702d1ca4e2b9a47d44ec5e5aa417b2863bd30daf37dbd6afbbf64a579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f7e169a868e71408ec1d7379c12be2638f428973e80f9fc30be5cdfddff956b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-10-26T23:12:48Z",
    "title_canon_sha256": "36c5051ccbf73dba92c3b62ac4929a272157d739599d18076ba2c6d585e2a9e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610812",
    "kind": "arxiv",
    "version": 1
  }
}