Pith Number

pith:QLVLCD5K

pith:2009:QLVLCD5K5KJFFWSG65PPCQNBFG

not attested not anchored not stored refs pending

Graph topologies induced by edge lengths

Agelos Georgakopoulos

arxiv:0903.1744 v3 · 2009-03-10 · 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{QLVLCD5K5KJFFWSG65PPCQNBFG}

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	2026-07-04T17:17:35.126552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82eab10faaea9252da46f75ef141a129ba2254c72280b6d808d03a15dad0989f

Aliases

arxiv: 0903.1744 · arxiv_version: 0903.1744v3 · doi: 10.48550/arxiv.0903.1744 · pith_short_12: QLVLCD5K5KJF · pith_short_16: QLVLCD5K5KJFFWSG · pith_short_8: QLVLCD5K

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/QLVLCD5K5KJFFWSG65PPCQNBFG \
  | 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: 82eab10faaea9252da46f75ef141a129ba2254c72280b6d808d03a15dad0989f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2d98c27294b43e971ee7859d2c6eb9d9b1944b899964d7b80d705292d8320b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-03-10T16:37:15Z",
    "title_canon_sha256": "d568d634f803b57d5f3c3e7a4d87d2226a8b83546b69aefd7e2c0c08a93ac9c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1744",
    "kind": "arxiv",
    "version": 3
  }
}