Pith Number

pith:2ARVHXI2

pith:2018:2ARVHXI23W5Q4N6DTAYECQK2U4

not attested not anchored not stored refs pending

Isospectral discrete and quantum graphs with the same flip counts and nodal counts

Christopher H. Joyner, Jonas S. Juul

arxiv:1801.05246 v1 · 2018-01-16 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ARVHXI23W5Q4N6DTAYECQK2U4}

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	2026-05-18T00:13:30.334287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d02353dd1addbb0e37c3983041415aa73ef2367dac3dc5a616b35c5ef7e6b539

Aliases

arxiv: 1801.05246 · arxiv_version: 1801.05246v1 · doi: 10.48550/arxiv.1801.05246 · pith_short_12: 2ARVHXI23W5Q · pith_short_16: 2ARVHXI23W5Q4N6D · pith_short_8: 2ARVHXI2

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/2ARVHXI23W5Q4N6DTAYECQK2U4 \
  | 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: d02353dd1addbb0e37c3983041415aa73ef2367dac3dc5a616b35c5ef7e6b539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "938230e1fd5b693598154d1089a9afaea5752007c92891d574cba91126495f5e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-16T13:27:51Z",
    "title_canon_sha256": "2f3302a3cb080942e8cfe3eace113fd9214159f5fca7e8314557f4db6756376c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05246",
    "kind": "arxiv",
    "version": 1
  }
}