Pith Number

pith:VFOU7ECQ

pith:2016:VFOU7ECQOXYQXBBIFWESLKMGXB

not attested not anchored not stored refs pending

Torsional Rigidity, Isospectrality and Quantum Graphs

Don Colladay, Leon Kaganovskiy, Patrick McDonald

arxiv:1607.05752 v1 · 2016-07-19 · math.SP · 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{VFOU7ECQOXYQXBBIFWESLKMGXB}

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	2026-05-18T00:53:33.792026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a95d4f905075f10b84282d8925a986b870ff46b0f6862c204b1ee737cc1af8b4

Aliases

arxiv: 1607.05752 · arxiv_version: 1607.05752v1 · doi: 10.48550/arxiv.1607.05752 · pith_short_12: VFOU7ECQOXYQ · pith_short_16: VFOU7ECQOXYQXBBI · pith_short_8: VFOU7ECQ

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/VFOU7ECQOXYQXBBIFWESLKMGXB \
  | 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: a95d4f905075f10b84282d8925a986b870ff46b0f6862c204b1ee737cc1af8b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd96148d245afab946ae3d30ab72e02a0bc9c7b689a526c219b05b72ec980ff",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-07-19T20:23:17Z",
    "title_canon_sha256": "90d736cae95e328a420c8d5047357b709edc0eb63bf77e2a8c848aebad1eb054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05752",
    "kind": "arxiv",
    "version": 1
  }
}