Pith Number

pith:DPGNZ6ZV

pith:2008:DPGNZ6ZV3WLEWSF5DY6KU2GRSW

not attested not anchored not stored refs pending

The trace formula for quantum graphs with general self adjoint boundary conditions

Jens Bolte, Sebastian Endres

arxiv:0805.3111 v2 · 2008-05-20 · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPGNZ6ZV3WLEWSF5DY6KU2GRSW}

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	2026-05-18T02:15:52.568737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bccdcfb35dd964b48bd1e3caa68d195ba1f153f12d41d2f333461c7fc3761aa

Aliases

arxiv: 0805.3111 · arxiv_version: 0805.3111v2 · doi: 10.48550/arxiv.0805.3111 · pith_short_12: DPGNZ6ZV3WLE · pith_short_16: DPGNZ6ZV3WLEWSF5 · pith_short_8: DPGNZ6ZV

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/DPGNZ6ZV3WLEWSF5DY6KU2GRSW \
  | 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: 1bccdcfb35dd964b48bd1e3caa68d195ba1f153f12d41d2f333461c7fc3761aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f96aa6f6c91373a5c4f3e2feda7060848eeabf25af3aa651eac90c14c3193cd",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-05-20T16:32:49Z",
    "title_canon_sha256": "6d648acad3f7a13c7de7c326c3395703cbaf77b05cf50ab98a31868ed2f13090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3111",
    "kind": "arxiv",
    "version": 2
  }
}