Pith Number

pith:2GDBPGFD

pith:2013:2GDBPGFDX2DUQ7D4ZS6Q3H5WUE

not attested not anchored not stored refs pending

Minimal support results for Schr\"odinger equations

Julian Edward, Laura De Carli, Mark Leckband, Steve Hudson

arxiv:1302.4335 v1 · 2013-02-18 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GDBPGFDX2DUQ7D4ZS6Q3H5WUE}

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	2026-05-18T03:33:23.367931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1861798a3be87487c7cccbd0d9fb6a10e6bacb289dba79f39ed98afa7f335d5

Aliases

arxiv: 1302.4335 · arxiv_version: 1302.4335v1 · doi: 10.48550/arxiv.1302.4335 · pith_short_12: 2GDBPGFDX2DU · pith_short_16: 2GDBPGFDX2DUQ7D4 · pith_short_8: 2GDBPGFD

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/2GDBPGFDX2DUQ7D4ZS6Q3H5WUE \
  | 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: d1861798a3be87487c7cccbd0d9fb6a10e6bacb289dba79f39ed98afa7f335d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89b72983f640f0f3a0b062403d311e65e806145bfaa2fda253f015c97f59e9a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-18T16:17:25Z",
    "title_canon_sha256": "46f692a90cef86c92e43482e41342155e1cb43a2f03ce7d0bdb76526a26a509f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4335",
    "kind": "arxiv",
    "version": 1
  }
}