Pith Number

pith:Q7DTAIIL

pith:2013:Q7DTAIILONY26SNZL2C7YT3SRL

not attested not anchored not stored refs pending

Isospectrality and heat content

E. B. Dryden, M. van den Berg, T. Kappeler

arxiv:1304.4030 v2 · 2013-04-15 · 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{Q7DTAIILONY26SNZL2C7YT3SRL}

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	2026-05-18T00:44:29.864626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c730210b7371af49b95e85fc4f728ae43be07304bc16931b6a1b7a0d69145f

Aliases

arxiv: 1304.4030 · arxiv_version: 1304.4030v2 · doi: 10.48550/arxiv.1304.4030 · pith_short_12: Q7DTAIILONY2 · pith_short_16: Q7DTAIILONY26SNZ · pith_short_8: Q7DTAIIL

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/Q7DTAIILONY26SNZL2C7YT3SRL \
  | 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: 87c730210b7371af49b95e85fc4f728ae43be07304bc16931b6a1b7a0d69145f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2594223bd444da0debb755a7214d8aa1d6b6b8c16d6641136e1025b648abe5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-04-15T09:31:35Z",
    "title_canon_sha256": "6b457c6a87e8a95e8040413446efe41bdaa718bb81752f5d43a3c79c9ca5e097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4030",
    "kind": "arxiv",
    "version": 2
  }
}