Pith Number

pith:ISFCTC5I

pith:2016:ISFCTC5II7DSYKI76MMOP33BUT

not attested not anchored not stored refs pending

On Concentration of least energy solutions for magnetic critical Choquard equations

K. Sreenadh, Tuhina Mukherjee

arxiv:1611.05528 v3 · 2016-11-17 · 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{ISFCTC5II7DSYKI76MMOP33BUT}

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	2026-05-18T00:19:14.192898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

448a298ba847c72c291ff318e7ef61a4c3de782cfd1deab0dbff318f9048e2c4

Aliases

arxiv: 1611.05528 · arxiv_version: 1611.05528v3 · doi: 10.48550/arxiv.1611.05528 · pith_short_12: ISFCTC5II7DS · pith_short_16: ISFCTC5II7DSYKI7 · pith_short_8: ISFCTC5I

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/ISFCTC5II7DSYKI76MMOP33BUT \
  | 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: 448a298ba847c72c291ff318e7ef61a4c3de782cfd1deab0dbff318f9048e2c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e454d1527034a313a639f0640791a32aa98d58ec3fcba8a5b44e5022ba303cfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-17T01:46:09Z",
    "title_canon_sha256": "b9a42b1f32f7557c256befdd5d2604b95cc4908750f17e9d53d760ac936334ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05528",
    "kind": "arxiv",
    "version": 3
  }
}