Pith Number

pith:O6REM6WU

pith:2015:O6REM6WUXGU47H23JQX7GQH3ZK

not attested not anchored not stored refs pending

Changing gears: Isospectrality via eigenderivative transplantation

Peter Doyle, Peter Herbrich

arxiv:1509.03549 v1 · 2015-09-11 · math.SP · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6REM6WUXGU47H23JQX7GQH3ZK}

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	2026-05-18T01:33:17.584887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a2467ad4b9a9cf9f5b4c2ff340fbcaaf078ef7517c1f559b73e6b4a730c688

Aliases

arxiv: 1509.03549 · arxiv_version: 1509.03549v1 · doi: 10.48550/arxiv.1509.03549 · pith_short_12: O6REM6WUXGU4 · pith_short_16: O6REM6WUXGU47H23 · pith_short_8: O6REM6WU

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/O6REM6WUXGU47H23JQX7GQH3ZK \
  | 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: 77a2467ad4b9a9cf9f5b4c2ff340fbcaaf078ef7517c1f559b73e6b4a730c688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e1e107e4d07702f337cbe5486733c414c2a3e90d845101abddba3a45c403b5c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-09-11T15:21:30Z",
    "title_canon_sha256": "fd0920e56baf85e2353f40d33c68bbc632b0695c5cc6a1f22f6173e30582ff3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03549",
    "kind": "arxiv",
    "version": 1
  }
}