Pith Number

pith:XS46JPN2

pith:2008:XS46JPN2FSYDHGEJBQAC4LD7NB

not attested not anchored not stored refs pending

Periodic Graphs

Chris Godsil

arxiv:0806.2074 v2 · 2008-06-12 · math.CO · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XS46JPN2FSYDHGEJBQAC4LD7NB}

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	2026-05-18T02:24:57.330675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcb9e4bdba2cb03398890c002e2c7f6860019447804b1deccb203ae0ac9e8113

Aliases

arxiv: 0806.2074 · arxiv_version: 0806.2074v2 · doi: 10.48550/arxiv.0806.2074 · pith_short_12: XS46JPN2FSYD · pith_short_16: XS46JPN2FSYDHGEJ · pith_short_8: XS46JPN2

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/XS46JPN2FSYDHGEJBQAC4LD7NB \
  | 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: bcb9e4bdba2cb03398890c002e2c7f6860019447804b1deccb203ae0ac9e8113

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50fa3ddcf2ec5620857bb6751152d0cf45124f1c7007c505e82c1e6149f0a5d9",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-06-12T13:34:06Z",
    "title_canon_sha256": "eb7e0f6b0dd1e832cc66bf0ec083e227819642c7158d3f1e62c00c8aee59ae61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.2074",
    "kind": "arxiv",
    "version": 2
  }
}