Pith Number

pith:6XK3HOWD

pith:2024:6XK3HOWDFYR562V7PLH4NRJCHD

not attested not anchored not stored refs pending

Computing Spectral Size: Rigorous Algorithms and the Limits of Computation

Jake Fillman, Mark Embree, Matthew J. Colbrook

arxiv:2407.20353 v2 · 2024-07-29 · math.SP · cs.NA · math-ph · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XK3HOWDFYR562V7PLH4NRJCHD}

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	2026-06-24T01:14:18.975277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5d5b3bac32e23df6abf7acfc6c52238da6231a12b7b57c410a40d0eccba2421

Aliases

arxiv: 2407.20353 · arxiv_version: 2407.20353v2 · doi: 10.48550/arxiv.2407.20353 · pith_short_12: 6XK3HOWDFYR5 · pith_short_16: 6XK3HOWDFYR562V7 · pith_short_8: 6XK3HOWD

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/6XK3HOWDFYR562V7PLH4NRJCHD \
  | 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: f5d5b3bac32e23df6abf7acfc6c52238da6231a12b7b57c410a40d0eccba2421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d52af8b261ee76d8d97a2680b52599b8c2b956cbd807e838c6669f714563b7",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-07-29T18:06:42Z",
    "title_canon_sha256": "96cd774fcf69d4d862a4d93a03fec6acbfbfd7423bf489650b3fd190ec5d58f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.20353",
    "kind": "arxiv",
    "version": 2
  }
}