Pith Number

pith:6CTUFB7O

pith:2015:6CTUFB7OCAFDGEFNKDEFWC5DFY

not attested not anchored not stored refs pending

Manifold decompositions and indices of Schr\"odinger operators

Christoper K.R.T. Jones, Graham Cox, Jeremy L. Marzuola

arxiv:1506.07431 v2 · 2015-06-24 · math.AP · 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{6CTUFB7OCAFDGEFNKDEFWC5DFY}

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	2026-05-18T01:23:03.831232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0a74287ee100a3310ad50c85b0ba32e12646992d7a8b8399a984aaf3c25c394

Aliases

arxiv: 1506.07431 · arxiv_version: 1506.07431v2 · doi: 10.48550/arxiv.1506.07431 · pith_short_12: 6CTUFB7OCAFD · pith_short_16: 6CTUFB7OCAFDGEFN · pith_short_8: 6CTUFB7O

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/6CTUFB7OCAFDGEFNKDEFWC5DFY \
  | 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: f0a74287ee100a3310ad50c85b0ba32e12646992d7a8b8399a984aaf3c25c394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee0e8f2b4e9835939f7d5910d441dc39d347fa829f85afdc3da468df80a8a2d6",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-24T15:43:48Z",
    "title_canon_sha256": "2395cb3d4a0c581b049929fbf51f99776e8db737ce8d50247916fd1a8520c193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07431",
    "kind": "arxiv",
    "version": 2
  }
}