Pith Number

pith:XAEVJ7LG

pith:2021:XAEVJ7LGXSBLEROKD24BGJ3I2I

not attested not anchored not stored refs pending

Existence of bound and ground states for an elliptic system with double criticality

Alejandro Ortega, Eduardo Colorado, Rafael L\'opez-Soriano

arxiv:2107.03737 v1 · 2021-07-08 · 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{XAEVJ7LGXSBLEROKD24BGJ3I2I}

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	2026-07-05T02:56:18.820672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b80954fd66bc82b245ca1eb8132768d206ed8440528c056b477ef7a76f1b0b6c

Aliases

arxiv: 2107.03737 · arxiv_version: 2107.03737v1 · doi: 10.48550/arxiv.2107.03737 · pith_short_12: XAEVJ7LGXSBL · pith_short_16: XAEVJ7LGXSBLEROK · pith_short_8: XAEVJ7LG

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/XAEVJ7LGXSBLEROKD24BGJ3I2I \
  | 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: b80954fd66bc82b245ca1eb8132768d206ed8440528c056b477ef7a76f1b0b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abee0c53c66fef0985e9313f765f4a3e7b9c1256a2f5b59092662f87979b8197",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-07-08T10:32:39Z",
    "title_canon_sha256": "e519d0722319b8caee2fc3c167d34e1813c1d56860aaf89a5b943b63d1269103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.03737",
    "kind": "arxiv",
    "version": 1
  }
}