Pith Number

pith:VDGAGDOG

pith:2011:VDGAGDOGGJ2BCXLD4JU2AWMY4E

not attested not anchored not stored refs pending

Spectral zeta functions of a 1D Schr\"odinger problem

Joe Watkins

arxiv:1110.2004 v2 · 2011-10-10 · math-ph · hep-th · 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{VDGAGDOGGJ2BCXLD4JU2AWMY4E}

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.

Cited by

1 paper in Pith

Template masks for 4D-STEM

Receipt and verification

First computed	2026-05-18T03:45:12.570617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8cc030dc63274115d63e269a05998e136adfe44c0aacde338a3c30f2babaea6

Aliases

arxiv: 1110.2004 · arxiv_version: 1110.2004v2 · doi: 10.48550/arxiv.1110.2004 · pith_short_12: VDGAGDOGGJ2B · pith_short_16: VDGAGDOGGJ2BCXLD · pith_short_8: VDGAGDOG

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/VDGAGDOGGJ2BCXLD4JU2AWMY4E \
  | 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: a8cc030dc63274115d63e269a05998e136adfe44c0aacde338a3c30f2babaea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49046d99a85dc90f552b811f793c8c5e0c6094907ce6b68181c798b6d14df550",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-10T11:09:37Z",
    "title_canon_sha256": "2caf15f89d3b7a77a8440cd6cdec814c2c5bf8aceb4f8b8106c8ea797bc8a3e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2004",
    "kind": "arxiv",
    "version": 2
  }
}