Pith Number

pith:6QPGHLFS

pith:2016:6QPGHLFSOGTXFNGEUF5PMTXTFG

not attested not anchored not stored refs pending

Existence and concentration of solution for a non-local regional Schr\"odinger equation with competing potentials

C\'esar E. Torres Ledesma, Claudianor O. Alves

arxiv:1611.02056 v1 · 2016-11-07 · 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{6QPGHLFSOGTXFNGEUF5PMTXTFG}

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	2026-05-18T01:00:03.793244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f41e63acb271a772b4c4a17af64ef329a169e813f9abab268d2d8a02c29850ed

Aliases

arxiv: 1611.02056 · arxiv_version: 1611.02056v1 · doi: 10.48550/arxiv.1611.02056 · pith_short_12: 6QPGHLFSOGTX · pith_short_16: 6QPGHLFSOGTXFNGE · pith_short_8: 6QPGHLFS

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/6QPGHLFSOGTXFNGEUF5PMTXTFG \
  | 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: f41e63acb271a772b4c4a17af64ef329a169e813f9abab268d2d8a02c29850ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a1aff5bec94b244b3d5f856a08c766c71df03ac31653ddb7ef759394a383a09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-07T13:59:33Z",
    "title_canon_sha256": "0adb3bffb22d5924298f6777138f2aa841f664a8ee68b1b070dc11b76adf03f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02056",
    "kind": "arxiv",
    "version": 1
  }
}