Pith Number

pith:UBPOSXW6

pith:2018:UBPOSXW6GGJ73M2GVJ3CY7GNXI

not attested not anchored not stored refs pending

Chang Palais-Smale condition and global inversion

Olivia Gut\'u

arxiv:1802.05700 v1 · 2018-02-15 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBPOSXW6GGJ73M2GVJ3CY7GNXI}

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	2026-05-18T00:01:16.565066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a05ee95ede3193fdb346aa762c7ccdba33fbdea91ff4112e86a0f914f5b70d82

Aliases

arxiv: 1802.05700 · arxiv_version: 1802.05700v1 · doi: 10.48550/arxiv.1802.05700 · pith_short_12: UBPOSXW6GGJ7 · pith_short_16: UBPOSXW6GGJ73M2G · pith_short_8: UBPOSXW6

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/UBPOSXW6GGJ73M2GVJ3CY7GNXI \
  | 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: a05ee95ede3193fdb346aa762c7ccdba33fbdea91ff4112e86a0f914f5b70d82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "325a50159d12d02abb5f6531af67c7e3fcdb395e3eadadffe4e28b0dbd3195f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-15T18:49:38Z",
    "title_canon_sha256": "0451060e14b7350e73128a5e101d4b11ac55030a9c2b6559e0b75ff67b4ddca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05700",
    "kind": "arxiv",
    "version": 1
  }
}