Pith Number

pith:UY4QLUC3

pith:2008:UY4QLUC3VGA344GY7Y4MT5GQXH

not attested not anchored not stored refs pending

Quantum graphs: an introduction and a brief survey

Peter Kuchment

arxiv:0802.3442 v1 · 2008-02-23 · 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{UY4QLUC3VGA344GY7Y4MT5GQXH}

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.

Cited by

1 paper in Pith

Single $\pi$-flux hosting topological defect modes in bilayer acoustic metamaterials

Receipt and verification

First computed	2026-05-18T03:53:17.974488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a63905d05ba981be70d8fe38c9f4d0b9dac879a965fa761f2c511cd69953afa0

Aliases

arxiv: 0802.3442 · arxiv_version: 0802.3442v1 · doi: 10.48550/arxiv.0802.3442 · pith_short_12: UY4QLUC3VGA3 · pith_short_16: UY4QLUC3VGA344GY · pith_short_8: UY4QLUC3

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/UY4QLUC3VGA344GY7Y4MT5GQXH \
  | 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: a63905d05ba981be70d8fe38c9f4d0b9dac879a965fa761f2c511cd69953afa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "049d81f911a61db9e1569b7064234390758221f58f4074bb469edf91778dbe08",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-02-23T13:24:36Z",
    "title_canon_sha256": "b287fb9e8767c1b5747c93144488225995d70312ecd7556184be56e96109facc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3442",
    "kind": "arxiv",
    "version": 1
  }
}