Pith Number

pith:DMM5DCSO

pith:2011:DMM5DCSOALNRCNMRTAITUXYIJM

not attested not anchored not stored refs pending

Recovering quantum graphs from their Bloch spectrum

Ralf Rueckriemen

arxiv:1101.6002 v2 · 2011-01-31 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DMM5DCSOALNRCNMRTAITUXYIJM}

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	2026-05-18T02:22:41.706110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b19d18a4e02db11359198113a5f084b00ef2e5793bd87cbcd5eb2c8c9822a33

Aliases

arxiv: 1101.6002 · arxiv_version: 1101.6002v2 · doi: 10.48550/arxiv.1101.6002 · pith_short_12: DMM5DCSOALNR · pith_short_16: DMM5DCSOALNRCNMR · pith_short_8: DMM5DCSO

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/DMM5DCSOALNRCNMRTAITUXYIJM \
  | 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: 1b19d18a4e02db11359198113a5f084b00ef2e5793bd87cbcd5eb2c8c9822a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c0ebb0aca08833cb034b475283108d04ab3a68399731c5e91eadaa020e1484",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-01-31T16:08:14Z",
    "title_canon_sha256": "6fcebc42bc2787fb30e976378ccd08b57133ee42c9ea3135f846021a621426e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.6002",
    "kind": "arxiv",
    "version": 2
  }
}